### Home > CCA2 > Chapter 3 > Lesson 3.2.5 > Problem3-117

3-117.

Solve the quadratic below twice: once by factoring and using the Zero Product Property and once by completing the square. Verify that the solutions match. Homework Help ✎

$x^2+14x+33=0$

Factoring:
$(x+3)(x+11)=0\ \\ x=−3\ \text{or}\ −11$

Completing the square:
$x^2+14x+33+16=16 \\x^2+14x+49=16\\(x+7)^2=16\\x+7=4\ \text{or}\ x+7=-4\\x=−3\ \text{or} \ -11$