SOLUTION: rearrange 60x-2x^2 in the form p-2(x-q)^2

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Question 953086: rearrange 60x-2x^2 in the form p-2(x-q)^2
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

60x-2x%5E2 in the form p-2%28x-q%29%5E2
-2x%5E2%2B60x.....factor out -2
-2%28x%5E2-30x%29 complete the square
-2%28x%5E2-30x%2Bq%5E2%29-%28-2%29q%5E2 .....since coefficient in front of x%5E2 is 1 and in front of x is 30,we know that 2%2A1%2Aq=30; so, q=15
-2%28x%5E2-30x%2B15%5E2%29-%28-2%2915%5E2
-2%28x-15%29%5E2%29%2B2%2A225
-2%28x-15%29%5E2%2B450
or
450-2%28x-15%29%5E2