SOLUTION: I have a page of quadratic equations that just have the letter C for the constant term. How do I solve for x? Example: x^2 + 6x + C = 0

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I have a page of quadratic equations that just have the letter C for the constant term. How do I solve for x? Example: x^2 + 6x + C = 0      Log On


   

Question 961440: I have a page of quadratic equations that just have the letter C for the constant term. How do I solve for x?
Example: x^2 + 6x + C = 0
Found 2 solutions by Fombitz, josmiceli:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square.
x%5E2%2B6x%2BC=0
x%5E2%2B6x%2B9%2BC=9
%28x%2B3%29%5E2=9-C
x%2B3=0+%2B-+sqrt%289-C%29
x=-3+%2B-+sqrt%289-C%29

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+x%5E2+%2B+6x+%2B+C+=+0+
Complete the square
+x%5E2+%2B+6x+%2B+%286%2F2%29%5E2+=+C+%2B+%28+6%2F2%29%5E2+
+x%5E2+%2B+6x+%2B+9+=+C+%2B+9+
+%28+x+%2B+3+%29%5E2+=+C+%2B+9+
Take the square root of both sides
+x+%2B+3+=+sqrt%28+C+%2B+9+%29+
+x+=+-3+%2B-+sqrt%28+C+%2B+9+%29+
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If +C+%3E+-9+ you get 2 values for +x+
If +C+=+-9+ you get 1 value for +x+
If +C+%3C+-9+ you get 2 complex values for +x+
( I just added this info -you don't need it )