SOLUTION: For what real values of c is 4x^2 + 5x^2 + 14x + 6x - 8x^2 + c the square of a binomial?

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Question 1209164: For what real values of c is 4x^2 + 5x^2 + 14x + 6x - 8x^2 + c the square of a binomial?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


4x%5E2+%2B+5x%5E2+%2B+14x+%2B+6x+-+8x%5E2+%2B+c

Combine like terms:

%284x%5E2%2B5x%5E2-8x%5E2%29%2B%2814x%2B6x%29%2Bc
x%5E2%2B20x%2Bc

Using the pattern %28x%2Ba%29%5E2=x%5E2%2B2ax%2Ba%5E2, we have

2ax = 20x
a = 10
c = a^2 = 100

ANSWER: 100