SOLUTION: given (h+1) and (k-2) are the roots of the equation x power of 2 +9x +14=0. Find the values og h and k

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: given (h+1) and (k-2) are the roots of the equation x power of 2 +9x +14=0. Find the values og h and k      Log On


   

Question 1107177: given (h+1) and (k-2) are the roots of the equation x power of 2 +9x +14=0. Find the values og h and k
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
+x%5E2+%2B+9x+%2B+14+=+0+
+%28x+%2B+7%29%28x+%2B+2%29+=+0+
which has roots: x= -7 and x= -2
Since it is not specified how h and k are related, there are two solutions.
(1) Assigning
h+1 = -7
k-2 = -2
gives h=-8 and k=0
——

(2) If you assign
h+1 = -2
k-2 = -7
then h=-3 and k=-5