Question

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

Answer 1

25 since taking half of the X term would give you -5 and squaring it would give you positive 25

Answer 2

25 should add

Explanation:

Since, if we have a quadratic equation which is not a perfect square then for making a perfect square trinomial in the equation, we need to add the square of the half of the coefficient of x on both sides of the equation.

∵ Coefficient of x = 10

Half of 10 = 5

Square of 5 = 25

Thus, in equation
`x^2 - 10x = 7`

We need to add 25 on both sides,

i.e.
`x^2 - 10x + 25 = 7 + 29`

`(x-5)^2 = 36`

( ∵ ( a - b )² = a² - 2ab + b² )