document.write( "Question 1209164: For what real values of c is 4x^2 + 5x^2 + 14x + 6x - 8x^2 + c the square of a binomial? \n" ); document.write( "

Algebra.Com's Answer #847756 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( " $\"4x%5E2+%2B+5x%5E2+%2B+14x+%2B+6x+-+8x%5E2+%2B+c\"$

\n" ); document.write( "Combine like terms:

\n" ); document.write( " $\"%284x%5E2%2B5x%5E2-8x%5E2%29%2B%2814x%2B6x%29%2Bc\"$
\n" ); document.write( " $\"x%5E2%2B20x%2Bc\"$

\n" ); document.write( "Using the pattern $\"%28x%2Ba%29%5E2=x%5E2%2B2ax%2Ba%5E2\"$ , we have

\n" ); document.write( "2ax = 20x
\n" ); document.write( "a = 10
\n" ); document.write( "c = a^2 = 100

\n" ); document.write( "ANSWER: 100

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