SOLUTION: Given the quadratic function f(x) = 9x^2 + 36x + 36, find a value of x such that f(x) = 9. Can you please show the work too? Thanks in advance!

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Given the quadratic function f(x) = 9x^2 + 36x + 36, find a value of x such that f(x) = 9. Can you please show the work too? Thanks in advance!      Log On


   

Question 387436: Given the quadratic function f(x) = 9x^2 + 36x + 36, find a value of x such that f(x) = 9. Can you please show the work too?
Thanks in advance!
Found 2 solutions by ewatrrr, solver91311:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

f(x) = 9x^2 + 36x + 36

f(x) = 9

   9 = 9x^2 + 36x + 36

  9x^2 + 36c + 27 = 0

  3x^2 + 12c + 9 = 0

factoring

 (3x + 3)(x + 3)= 0 Note:SUM of the inner product(3x) and the outer product(9x) = 12x

 (3x + 3)=0

      x = -1

 (x + 3)= 0

      x = -3

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If



AND



Then



Which is to say:



Just solve the quadratic using the quadratic formula.


John

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