Question

What number should be added to both sides of the equation to complete the square?

Answer 1

Answer:

9 should be added  to both sides of the equation to complete the square.

Step-by-step explanation:

Given : $x^2 -6x = 5$

To Find: What number should be added to both sides of the equation to complete the square?

Solution:

$x^2 -6x = 5$

Add the square of  half of coefficient of x

So, the square of  half of coefficient of x = $(\frac{6}{2})^2=3^2 =9$

So, $x^2 -6x +9 = 5+9$

$x^2 -6x +3^2 = 5+9$

$x^2 -2 \times 3 \times x +3^2 = 5+9$

$(x-3)^2 = 5+9$

$(x-3)^2 =14$

Thus 9 should be added  to both sides of the equation to complete the square.