document.write( "Question 663516: y = x^2 + (m+5)x+(5m+1) a perfect square trinomial. \n" ); document.write( "

Algebra.Com's Answer #412823 by ReadingBoosters(3246) $\"\"$ $\"About$

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Starting with
\n" ); document.write( "y = x^2 + (m+5)x + (5m+1)
\n" ); document.write( "Distribute the x
\n" ); document.write( "y = x^2 + mx + 5x + 5m + 1
\n" ); document.write( "y = x^2 + 5x + mx +5m + 1
\n" ); document.write( "y = x(x+5)+m(x+5)+1
\n" ); document.write( "y = (x+m)(x+5) + 1
\n" ); document.write( "(x+m)(x+5)=-1
\n" ); document.write( "x+m=-1 so x= -1-m
\n" ); document.write( "x+5=-1 so x= -1-5 = -6
\n" ); document.write( " \n" ); document.write( "

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