Question

What number should be added on both sides of the equation to complete the square x2 -6x =5

Answer 1

The Answer wouldn't be any other number but 9. I took this test and got it right.

Answer 2

We should add 9 on the both sides of the given equation.

Explanation:

Since, for making a perfect square on the left side of a quadratic equation,

We add the square of the half of the coefficient of x on both sides,

The given equation,

`x^2-6x = 5`

Here, the coefficient of x is 6,

Half of 6 = 3

Square of 3 = 9,

Thus, we should add 9 on the both sides of the given equation.

Verification :

`x^2 - 6x + 9 = 5 + 9`

`(x-3)^2 = 14`