CPM Homework Help : CCAA8 Problem 11-137

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.

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

Hint 1:

Completing the square:

Add $16$ to both sides of the equation. Solve for $x$ .

Hint 2:

Factoring and Zero Product Property:

Factor the quadratic, then find its roots from the factors.

Answer:

$x=-3$ or $-11$