solve by completing the square. x^2-10x=24

Question

i dont understand how to solve. please help.

Answer 1

The equation is x² - 10x = 24.

To change the expression into a perfect square trinomial add (half the x coefficient)² to each side of the expression.

 Here x coefficient = - 10. so, (half the x coefficient)² = (- 10/2)²= 25.

Add 25 to each side.

x² - 10x + 25 = 24 + 25

(x - 5)² = 49

(x - 5)² = (± 7)²

x - 5 = ± 7

x = 5 + 7 and x = 5 - 7

x = 12 and x = - 2.

The solutions are x = 12 and x = - 2.