Question

Rewrite the equation by completing the square.x^2 – 14x + 33 = 0

Answer 1

x^2 – 14x + 33 = 0

Complete the square

Remember that

14/2=7

so

(x^2-14x+7^2)-7^2+33=0

(x^2-14x+49)-49+33=0

Rewrite as perfecy squares

(x-7)^2-16=0

(x-7)^2=16

therefore

the answer is

(x-7)^2=16