Find the real roots of
[tex] \frac{18}{ {x}^{4} } + \frac{1}{ {x}^{2} } = 4[/tex]
Answers
see the photos above given
![Find The Real Roots Of [tex] \frac{18}{ {x}^{4} } + \frac{1}{ {x}^{2} } = 4[/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/NsNFF5aVXjmdsqi828qQGUgh1sQxczRO.jpeg)
Answer:
[tex]$x^2=\frac{9}{4} \implies x=\pm \frac{3}{2} $[/tex]
[tex]$x^2=-2 \implies x=\pm\sqrt{-2} \implies x=\pm\sqrt{2i} $[/tex]
The solutions are
[tex]$\{-\frac{3}{2},\frac{3}{2}, -\sqrt{2i}, \sqrt{2i} \}$[/tex]
The Real roots are
[tex]$\{-\frac{3}{2},\frac{3}{2}\}$[/tex]
Step-by-step explanation:
[tex]$\frac{18}{x^4} +\frac{1}{x^2}=4$[/tex]
Multiply both sides by [tex]x^4[/tex]
[tex]$x^4\frac{18}{x^4} +x^4\frac{1}{x^2}=4\cdot x^4$[/tex]
[tex]$18+x^2=4x^4$[/tex]
[tex]4x^4-x^2-18=0[/tex]
Substitute [tex]x^2=t[/tex]
[tex]4t^2-t-18=0[/tex]
Solving the quadratic equation using the quadratic formula:
[tex]$t=\frac{-(-1)\pm \sqrt{(-1)^2-4\cdot 4(-18)}}{2\cdot 4}$[/tex]
[tex]$t=\frac{1\pm \sqrt{289}}{8}$[/tex]
[tex]$t=\frac{1\pm 17}{8}$[/tex]
[tex]$t_1=\frac{9}{4}$[/tex]
[tex]t_2=-2[/tex]
Now we have to solve for [tex]x^2=t[/tex]
[tex]$x^2=\frac{9}{4} \implies x=\pm \frac{3}{2} $[/tex]
[tex]$x^2=-2 \implies x=\pm\sqrt{-2} \implies x=\pm\sqrt{2i} $[/tex]
Related Questions
Show the proper algebraic steps to solve 5x + 34 = 2(1 -7x)
Answers
Answer:
x=-1.68
Step-by-step explanation:
5x + 34 = 2(1 -7x)
5x+34=2-14x
5x+14x=2-34
19x=-32
x=1.68
Solve the equation for the variable.
[tex] \frac{2}{5} x + 15 = x - 6[/tex]
x = [?]
Answers
Answer:
x = 35Step-by-step explanation:
[tex]\frac{2}{5} x + 15 = x - 6[/tex]
First multiply through by 5 to eliminate the fraction
That's
[tex]5 \times \frac{2}{5} x + 15(5) = 5x - 30 \\ 2x + 75 = 5x - 30[/tex]
Next using the subtraction property subtract 5x from both sides
That's
[tex]2x - 5x + 75 = 5x - 5x - 30 \\ - 3x + 75 = - 30[/tex]
Next subtract 75 from both sides
[tex] - 3x + 75 - 75 = - 30 - 75 \\ - 3x = - 105[/tex]
Divide both sides by - 3
[tex] \frac{ - 3x}{ - 3} = \frac{ - 105}{ - 3} [/tex]
We have the final answer as
x = 35Hope this helps you
Find x, when p(x) = -1,
Answers
Answer:
positive or negative 4
Step-by-step explanation:
p(x) is another form of saying y. plug in -1 as the y value. then look where on the graph it touches the line
PLZZ HELP...i'm ready to go to bed...Where might you see "soda cans" in architecture or nature? (the shape of soda cans?
Answers
A soda cans like a cube with straight on top
Which polynomial is in standard form?
A)
2x - 3x2 - 4x} + 6x4 + 8
B)
2x4 - 7x² - 6x² + 3x + 9
5 + 7x2 + 6x + 3x5 + x
D)
5 + 7x3 - 6x² + 3x + 9x
Answers
Answer:
A
Step-by-step explanation:
f(x) = h•g+1
h(x)= 3(x - 1) – 2(2x + 1
g(x)= 8 + 2(x - 1)
Answers
Answer:
g = y - 1/h
h = −x − 5/x
g = 2x + 6/x
Which sequence of transformations confirms congruence by mapping shape I onto shape II? A. a reflection across the x-axis and then a translation 15 units left B. a 90° clockwise rotation about the origin and then a translation 25 units up C. a 90° counterclockwise rotation about the origin and then a translation 10 units left D. a 180° rotation about the origin and then a translation 10 units right
Answers
Answer:
The Answer is D.
Step-by-step explanation:
Answer: Its C
Step-by-step explanation:
In February, Paul's electric bill was three dollars more then one-half his gas bill. If the electric bill was ninety-two dollars, what was the gas bill?
Answers
Answer:
49$
Step-by-step explanation:
Idk how to do this. Please help?
Answers
Answer:
Is that algebra??
Step-by-step explanation:
Answer:
Below.
Step-by-step explanation:
1. Distance = √((√5)^2 + (-1)^2)
= √(5 + 1)
= √6.
2. √(1^1 + (-2)^2)
= √5.
3. √(4^2 + 3^2)
= √(16 + 9)
= √25
= 5.
4. √(6)^2 + (-8)^2)
= √(36 + 64)
= √100
= 10.
When a snack bar opens, the cash register contains at least 50 dollars in $1 and $5 bills. Which of these inequalities represents this situation, where x is the number of $1 bills and y is the number of $5 bills?
Answers
Answer:x + 5y is greater than or equal too $50
Step-by-step explanation:
If x is equal to the amount of $1 then there is no need for a coefficient. Being that y is represented as $5 there needs to be a coefficient of because it’s five dollars times however many you have. Then it is greater than or equal to $50 because the problem states there is at least $50 in the register.
Suppose y varies inversely with x. If y = 150 when x = 2, find y when x = 25.
Answers
Answer is 12
I hope this helps enough
c. If h(x) = x2 − x − 12, the value of h(3) is __________.
Answers
Answer
h(x)= x^2-x-12
(3)^2-3-12
9-3-12
12-12
0
Step-by-step explanation:
need help can someone explain this problem
please.
Answers
The perimeter = the sum of the length of each side.
The shape with missing sides is a rectangle, and we know that rectangles have equal opposite sides.
The top of the rectangle = 3.5 and now we know all the values of each side.
3.5 + 3.5 + 2.4 + 2 + 2 = 13.4 cm.
The perimeter = 13.4cm
1. Which of the following is an equation for the
inverse of the function f(x)
3x + 1 ?
Answers
Answer:
f^-1(x)=x/3-1/3
Step-by-step explanation:
A school cafeteria spent $2,700 for ingredients necessary to prepare 450 meals. What is the rate spent per meal?
Answers
Answer:
$6
Step-by-step explanation:
If we divide the amount they spend by the amount of meals they make, we get 6. So this means that they spend $6 per meal.
sin
sin 70°/cos20°+cosec36°/sec54°-2cos43°cosec47°
HELP PLEASS FAST
Answers
Answer:
-2.59x10^15
Step-by-step explanation:
The point (17, -9) is translated to the point (6, 2) what is the description of the translation
Answers
Question 9
A roller coaster has 4 cars, each with the same number of seats. There are 21 passengers seated in
the roller coaster, but 3 seats are empty. Write an equation that can be used to determine the
number of seats in each car.
Answers
Answer:
[tex]4n = 24[/tex]
Step-by-step explanation:
Given
[tex]Cars = 4[/tex]
[tex]Empty = 3[/tex]
[tex]Occupied = 21[/tex]
Required
Determine an equation to find number of seats
Let the number of seats in each car be represented by n;
If [tex]1\ car = n[/tex]
Then:
[tex]4\ cars = 4 * n[/tex]
[tex]4\ cars = 4 n[/tex]
This implies that there are 4n total seats
Solving further:
[tex]Occupied\ Seats + Empty\ Seats = Total[/tex]
Substitute values for the above parameters:
[tex]21 + 3 = 4n[/tex]
[tex]24 = 4n[/tex]
Reorder
[tex]4n = 24[/tex] ---- This equation can be used to solve for n
por favor ayúdenme en esta ecuación: 5x-3x=6x-8
Answers
Hey there!
ANSWER: [tex]x=2[/tex]EXPLANATION:[tex]5x-3x=6x-8[/tex]
Combine like terms.
[tex](5x+-3x)=6x-8\\2x=6x-8[/tex]
Subtract 6x from both sides of the equation.
[tex]2x-6x=6x-8-6x\\-4x=-8[/tex]
In the last step, we will divide both sides by -4.
[tex]\frac{-4x}{-4} =\frac{-8}{-4} \\x=2(ANSWER)[/tex]
Hope this helps and have a great weekend!
[tex]\text{-TestedHyperr}[/tex]
Answer: x = 2
Step-by-step explanation: Aquí esta :
Simplificar 5x - 3x y eso se de 2x
1.) 2x = 6x-8
Sustraer 6x-2x
2.) 2x-6x= -8
Y entonces deberías haber obtenido 4x
3.) -4x=-8
Dividir ambos lados por -4
4.) x = -8/-4
Dos negativas hacen una positivo
5.) x = 8/4
Finalmente, la repuesta es :
6.) x = 2
Please help ! Easy 7th grade math . It’s talking about integers !!
Answers
Answer:
#7- 10
#8- 2
#9- 8
Step-by-step explanation:
please help help help
Answers
Answer:
I'm fairly sure its 4.93 grams.
Step-by-step explanation:
you take the origional water of 45.1ml and the new 52.3ml, and find the difference, which in this case is 7.2ml.
the density formula is D=M/V
D= Density
M=Mass
V=Volume
so it would be
D= 35.49/7.2
which is 4.93.
again this is just from what I remember of science class.
Answer: 4.93g/cm^3
Step-by-step explanation:
Formula for Density: D = mass / volume
We know that the mass of the unknown object is 35.49g
Mass = 35.49g
To find the volume
Initial water level: 45.1 mL
Final water level: 52.3mL
52.3cm^3 - 45.1cm^3 = 7.2cm^3
Volume = 7.2cm^3
Density = 35.49g/7.2^3
Density =
i will mark brainliest whoever answers first
7x – 4 and 6x – 4 – x
Answers
Answer:
[tex]\large\boxed{5x - 4, 7x - 4}[/tex]
Step-by-step explanation:
7x - 4
This expression cannot be simplified. You cannot subtract a known number from a variable.
6x - 4 - x
This equation can be simplified
Subtract 6x - x
[tex]\large\boxed{5x - 4, 7x - 4}[/tex]
Hope this helps :)
If the question was ”rewrite √︎(x) • ∜︎(x) in it's simplest rational exponent form” would the answer be 4x or x¾ ?
Answers
Answer:
x^3/4.
Step-by-step explanation:
√︎(x) • ∜︎(x)
= x^1/2 * x^1/4
= x^3/4.
What is the slope of the line in the graph?
-4/3
-3/4
3/4
4/3
Answers
Answer: -3/4
Step-by-step explanation: I'M SMART
The town of hillside has an elevation of 50 feet above sea level. The town of Lakeside has an elevation of -35 feet. A bicyclist rides from Lakeside to Hillside,and wants to find his change in elevation. He finds the difference between his final elevation, 50 feet, and his starting elevation, -35 feet. What is the difference?
Answers
Answer:
The difference is 85 ft.
Step-by-step explanation:
Elevation 1: 50 ft
Elevation 2: -35 ft
Difference = Elevation 1 - Elevation 2
Difference = 50 - (-35)
I can simplify this expression, as subtracting a negative number is the same as adding a positive number:
Difference = 50 + 35
Difference = 85
Answer: The difference is 85 ft.
working together Alberto and Amanda can paint a fence in 4.12 hours. had she done it alone it would have taken Amanda 10 hours. find how long it would take Alberto to do it alone.
Answers
Answer:
10 hrs
Step-by-step explanation:
4.12/2 = 2.06 hrs / person
can ssome oone heelp me imm inn kinder garden and mmy teacher said what is 1 plus 1 plessssssssssssssssssssssss help me
Answers
Answer:
Step-by-step explanation: Ok So pretend you have one apple and your friend gives you another apple how much would you have... Answer is "2"
Answer: so it is 2
Step-by-step explanation: if one friend said I have 1 bike and you said you have 1 bike that would be 2. So 1 bike + 1 bike= 2 bikes
m(x) = 4x + 15; m(x) = 7
Answers
Hi there! :)
[tex]\huge\boxed{x = -2}[/tex]
m(x) = 4x + 15
Find the value of "x" that would satisfy m(x) = 7:
4x + 15 = 7
Subtract 15 from both sides:
4x = -8
Divide both sides by 4:
x = -2.
A community is planning to build a rectangular garden. The width of the garden is 17 /4 feet (ft), and the perimeter of the garden is 24.5 ft. The community planners want to spread mulch on the entire garden. How many square feet of mulch will be needed?
Answers
Answer:
34 square feet
Step-by-step explanation:
First, you need to find the other side of the garden in order to find the area a=l*w
The formula to find the length is, p-w*2=x x÷2=l
because, perimeter is l+l+w+w and area is just l*w
4.25*2=8.50
24.50-8.50=16
16÷2=8
l=8
So now we need to multiply the length and width to get the area.
8*4.25=34 sq. ft.
I hope that helps!
Which ones are polygons?
Answers
Answer:
C
Step-by-step explanation:
it's a complex polygon
Answer: BCF
Step-by-step explanation: