What number should be added to both sides of the equation to complete the square? x2 – 10x = 7

Question

i have to add a number to both sides of the equation but i dont know what it is

Answer 1

Julia, you take half of the x coefficient and square it.

 

Half of -10 = -5. -5² = 25

 

x² - 10x + 25 = 7 + 25

(x - 5)²  = 32

 

I hope this helps!