SOLUTION: Find the solutions to the equation below. Check all that apply. 2x^2+9x+4=0 A. X=7 B. X=-4 C. X=4 D. X=-3 E. X=2 F. X=-1/2

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find the solutions to the equation below. Check all that apply. 2x^2+9x+4=0 A. X=7 B. X=-4 C. X=4 D. X=-3 E. X=2 F. X=-1/2      Log On


   

Question 947238: Find the solutions to the equation below. Check all that apply.

2x^2+9x+4=0
A. X=7
B. X=-4
C. X=4
D. X=-3
E. X=2
F. X=-1/2
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

2x%5E2%2B9x%2B4=0 ...factor completely, write 9x as x%2B8x
2x%5E2%2Bx%2B8x%2B4+=+0...group
%282x%5E2%2Bx%29%2B%288x%2B4%29+=+0
x%282x%2B1%29%2B4%282x%2B1%29+=+0
%28x%2B4%29%282x%2B1%29+=+0
solutions:
if %28x%2B4%29+=+0=> highlight%28x=-4%29
if %282x%2B1%29+=+0=> 2x=-1=> highlight%28x=-1%2F2%29
so, your answer is
B. x=-4 and F. x=-1%2F2