x^2+1=0
What are the roots of this equation?
Thanks!
Answers
=> (x+1)² - 2x = 0
=> x+1 = √(2x)
or x - √(2x) + 1 = 0
Now take y=√x
So, the equation changes to
y² - y√2 + 1 = 0
By quadratic formula, we get:-
y = [√2 ± √(2–4)]/2
or √x = (√2 ± i√2)/2 or (1 ± i)/√2 [by cancelling the √2 in numerator and denominator and ‘i' is a imaginary number with value √(-1)]
or x = [(1 ± i)²]/2
So roots are [(1+i)²]/2 and [(1 - i)²]/2
Thus we got two roots but in complex plane. If you put this values in the formula for formation of quadratic equation, that is x²+(a+b)x - ab where a and b are roots of the equation, you will get the equation
x² + 1 = 0 back again
So it’s x=1 or x=-1
this is the answer for this question
Related Questions
Application
8. A small pizza with sauce and cheese costs $6.00.
Each additional topping is $0.75.
a) Write a rule (equation) for the cost of the pizza.
Answers
Answer:
small pizza-sp
additionl topping=atp
If sp=6.00
and atp=0.75 for every topping how ,uch would it cost for three toppings
Step-by-step explanation:
Find the slope and y-intercept. Also, determine if it is Proportional or Non Proportional
Answers
Answer:
Step-by-step explanation:
Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table attached,
Two points lying on the graph are (1, 12) and (2, 24).
Slope of the line will be,
m = [tex]\frac{24-12}{2-1}[/tex]
Slope = 12
Since equation of a line passing through a point (x', y') and slope 'm' is,
y - y' = m(x - x')
Therefore, equation of the line passing through (1, 12) and slope 12 will be,
y - 12 = 12(x - 1)
y = 12x - 12 + 12
y = 12x
By comparing this equation with the equation,
y = mx + b
where 'b' = y-intercept = 0
Since, y-intercept is zero, table will represent the proportional relation between x and y.
Proportional or non proportional → Proportional
Which statement about fractions equivalent to One-half is always true?
The numerator is twice the denominator.
The denominator is twice the numerator.
The denominator is equal to the numerator.
The numerator is equal to one less than the denominator.
Answers
X/2X = 1/2
Answer:
B. The denominator is twice the numerator.
Step-by-step explanation:
Find the measure of the missing angles.
Answers
Answer:
153* for both
Step-by-step explanation:
This makes a circle, which is 360*. One angle is given, and it is 27*. If the angle on the opposite side is the same, the total degrees so far would be 54.
Say b and c were equal. Then, the remaining 306* would be split even among them. 306/2 is 153.
Therefore, 153* is the correct answer.
Hope I helped!!!
rema purchased 18 ounces of gold in 2005 for $414 per ounce in order to try to diversify her investment portfolio. She sold a third of her holdings in gold in 2009 at a price $953 per ounce. She sold the rest of her gold holdings in 2010 for $1,367 per ounce.
What is Prema’s profit in 2009 and 2010?
Answers
Given :
Rema purchased 18 ounces of gold in 2005 for $414 per ounce in order to try to diversify her investment portfolio.
She sold a third of her holdings in gold in 2009 at a price $953 per ounce. She sold the rest of her gold holdings in 2010 for $1,367 per ounce.
To Find :
What is Prema’s profit in 2009 and 2010.
Solution :
Price of one third ounces of gold, in 2005 is :
P = $414/3 = $138 .
Profit from selling them in 2009 is :
P1 = $(953 - 138) = $815 .
Profit from selling them in 2010 is :
P2 = $( 1367 - ( 414 - 138 ) ) = $1091 .
Therefore, Prema's profit in 2009 is $815 and 2010 is $1091.
Hence, this is the required solution.
Increase 270 by 20%
Answers
Answer:
first find 20 percent of 270
270 times 20 divided by 100
5400 divided by 100
54
270 plus 54
324 is your final answer
-hope this helps!
Answer:
324
Step-by-step explanation:
10% of 270=27
27*2=54
20%=54
270+54=324
What is the quotient of -3/8 and -1/3?
Answers
Answer:
1[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
I used my calculators.
solve the equation
7x^2+21=0
Answers
7x^2=-21
Divide by seven on both sides
X^2=-3
Square root both sides
***X= square root of -3***
:)
please help im confused
Answers
Answer:
B) t = l / pr
Step-by-step explanation:
l = prt
l / pt = t
Change from multiplication to division
=== Thanks ===
A pizza dlivery car can travel 11 km for every gallon of gasoline it uses. If the driver's average speed is 28 km/h, how many hours can the driver travel before emptying a full 35 gallon gas tank?
Answers
Answer:
13.75 hours
Step-by-step explanation:
First, find how many km the driver can travel:
11(35)
= 385
Then, divide this by 28 to find how many hours the driver can travel:
385/28
= 13.75
So, the driver can travel 13.75 hours
Which is true about the domains and ranges of the functions f(x) 1/8√x= and g(x) = 8√x?
They have the same domain and range.
They have different domains and different ranges.
They have the same range but different domains.
They have the same domain but different ranges.
Answers
Answer:
A. They have the same domain and range.
Step-by-step explanation:
Edge 2021
f(x)5x + 4
Find f(6)
Answers
[tex]\sf{Hello!}[/tex]
[tex]f(x) = 5x + 4[/tex]
[tex]f(6) = ---- [/tex]
[tex]f(6) = 5(6) + 4[/tex]
[tex]f(6) = 30 + 4[/tex]
[tex]f(6) = 34[/tex]
Have a nice day!
Ans: 28
When translating the point (5,0) 6 units up and 4 units to the right, we should get:
Answers
Answer:
(9,6)
Step-by-step explanation:
"Up" indicates y-axis. "Right" is horizontal motion, so x-axis. We add positive 6 to the y-value and positive 4 (since it's going to the right) to the x-value.
Hope this helps!
Simplify the following.
a) 3x*y * 2xy
Answers
Simplify the expression.
6x^2y^2
73 is what percent of 800
Answers
Answer:
0.09125%
Step-by-step explanation:
Divide 73 by 800 and you will get 0.09125
Answer:
It should be %9.75
x2 + 8x + 4 = 0
please help
Solve the quadratic equation
Answers
Answer:
4
Step-by-step explanation:
Answer:
x= -2/5 or - 0.4
Step-by-step explanation:
6(x – 1) = 9(x + 2) what is the answer
Answers
Answer:
The answer is x = -8
Doreen Schmidt is a chemist. She needs to prepare 28 ounces of a 8% hydrochloric acid solution. Find the amount of 14% solution and the amount of 7% solution she should mix to get this solution
Answers
Let, amount of 14% solution required is x ounces.
So, amount of 8% solution will be ( 28 - x ) ounces.
Now, mathematical equation is :
[tex]\dfrac{14x}{100}+\dfrac{7(28-x)}{100}= \dfrac{8\times 28}{100}\\\\14x + 196 - 7x = 224\\\\7x = 28\\\\x = 4\ ounces[/tex]
Therefore, amount of 14% solution and 8% solution required is 4 ounces and 24 ounces respectively.
Hence, this is the required solution.
Factor
1 out of -x +6
The factored expression is
Answers
Answer:
6+f=21
Step-by-step explanation:
Determine the coordinates of the point shown
•(1.5 , - 2.5)
•(-2.5 , - 1.5)
•(-5, 3)
•(-2, 1)
Answers
Answer:
There the coordinates of the point are:
(x, y) = (-2.5, 1.5)
Therefore, option 'b' is true.
Step-by-step explanation:
From the coordinate plane, it is clear that the point is located in the 2nd quadrant.
We know that the second quadrant has negative x values and positive y values.
2nd quadrant → (-, +)
The point is clearly located at the location at x=-2.5 and y=1.5
There the coordinates of the point are:
(x, y) = (-2.5, 1.5)
Therefore, option 'b' is true.
If AB undergoes a dilation of k=1/3 centered at (-3,2) then A’ will have the coordinates:
Answers
Answer:
(-3,2)
Step-by-step explanation:
It was correct on mine
The coordinate of A' after dilation of k = 1/3 is, (- 1, 2/3)
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
We have to given that;
⇒ AB undergoes a dilation of k = 1/3 centered at point (-3, 2).
Now,
The coordinate of A' after dilation of k = 1/3 is,
⇒ (1/3 × - 3, 1/3 × 2)
⇒ (- 1, 2/3)
⇒ (- 1, 0.67)
Learn more about the coordinate visit:
https://brainly.com/question/24394007
#SPJ2
Can somebody please help me bc im so lost its ridiculous
Answers
Answer:
1. A = 120
2. B = 98
3. C = 86
4. D = 176
Step-by-step explanation:
Answer:
1) 120° 2) 98° 3) 104° 4) 140°
Step-by-step explanation:
1) add the two angles together then set them equal to 180 then solve for x. Once x is found plug it in for ∠A
2) set the two angles equal to each other then solve for x. once x is found plug it in for ∠B
3) set the two angles equal to each other to find x. once x is found plug it in for ∠C
4) add the two angles together then set it equal to 180. solve for x. once x is fould plug it in for ∠D
If two lines are perpendicular to each other, do they lie in the same plane?
Answers
help help help help
Answers
Answer:
Option 1
Step-by-step explanation:
-4x+6y-5z=60
for x-int, solve for x when y=0, z=0
-4x+6(0)-5(0)=60
x=-15 (-15, 0,0)
for y-int, solve for y when x=0, z=0
y=10 (0, 10,0)
for z-int, solve for z when x=0, y=0
z=-12 (0, 0,-12)
mZ1 = 6x and mZ3 = 120 Find the value of x when p is parallel to g.
Answers
Answer:
20
Step-by-step explanation:
m Z1=mZ3 = 120
120÷6=20
X=20
752 second graders went to
see Hansel and Gretel on
Friday. 25% of the students
went to the bathroom during
the movie. How many kids
went to the bathroom?
Answers
see Hansel and Gretel on
Friday. 25% of the students
went to the bathroom during
the movie. How many kids
went to the bathroom?
Answer:
188
Step-by-step explanation:
752 x 25% = 188
I want to do someone's IXL'S preferably math
Answers
Answer:
R u asking or u telling
Step-by-step explanation:
6x(2x+y-5) rewrite as a sum
Answers
Answer: 12x^2+6xy−30x
^=power sighn
Step-by-step explanation:
6x(2x+y−5)=(6x)(2x+y+−5)=(6x)(2x)+(6x)(y)+(6x)(−5)=12x^2+6xy−30x
Samir estimates the value of 3/5*16.1 which estimate is reasonable
Answers
Answer:
9.66
Step-by-step explanation:
Plz mark brainliest!!!
Can u help me with 5 6 7 and 8
Answers
Answer:
y/x
5. -6/1
6. 2/3
7. 2/16
8. -12/1