The solutions would be +0.37 and -0.37.
When completing the square, we take 1/2 of the value of b (in this case 5). 5/2=2.5. We then square this number: 2.5²=6.25. We add this value to both sides of the equation:
x²+5x+6.25 = 2+6.25
(x+2.5)² = 8.25
Take the square root of both sides:
√(x+2.5)² = √8.25
x + 2.5 = 2.87
Subtract 2.5 from both sides:"
x+2.5-2.5 = 2.87-2.5
x = 0.37
We have to take the positive and negative values for solutions, however, since a square root has both positive and negative answers.
Answer: 64 25% of 256 is 64
Step-by-step explanation:
There are 5 solutions for this system.
x^2 + 4y^2 = 100 ____1
4y - x^2 = -20 ____2
Add both 1 & 2 together. x^2 gets cancelled
4y^2 + 4y = 80 (send 80 to the other side and divide by 4)
Then equation the becomes : y^2 + y -20 =0
Now factorise the equation: (y+5) (y-4) = 0
Solve for y : y = -5 and y = 4
Using the values of y to find the values of x. From equation 1:
x^2 = 100 - 4y^2 x = /100 - 4y^2 (/ means square root) Replace values of y
y = -5, x = /100 - 4(-5)^2 = /100 - 100 = 0
y = 4, x = /100 - 4(4)^2 = / 100 - 64 = /36 = -6 or 6
Thus we have 6 solutions y = -5, 4 and x = -6, 0, 6
Answer:
D
Step-by-step explanation:
If you draw the shape in D and assemble it you will get the answer
btw please mark brainliest