Question

Complete the equation: x2 + 10x +__= (__)^2

Answer 1

25 should go in the blank.

Explanation:

You can factor and get (x + 5)^2, a perfect square trinomial when put into standard form.

Answer 2

x2 + 10x +25 = (x+5)^2

Explanation:

x^2 + 10x

To complete the square

Take the coefficient of x

10

Divide by 2

10/2 =5

Square it

5^2 =25

Add it

x2 + 10x +25

The coefficient of x divided by 2 is the factor we add to x inside the square

(x+5)^2