document.write( "Question 444153: If the area of a rectangle is 91m^2, and the dimensions are (x+2)m and (2x+3)m what is the value of x. I need to use the quadratic equation to find the value of x. \n" ); document.write( "

Algebra.Com's Answer #306252 by mananth(16946) $\"\"$ $\"About$

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(x+2)m * (2x+3)m=91\r
\n" ); document.write( "\n" ); document.write( "x(2x+3)+2(2x+3)=91
\n" ); document.write( "2x^2+3x+4x+6=91
\n" ); document.write( "2x^2+7x-85=0\r
\n" ); document.write( "\n" ); document.write( "Find the roots of the equation by quadratic formula
\n" ); document.write( "
\n" ); document.write( "a= 2 b= 7 c= -85
\n" ); document.write( "
\n" ); document.write( "b^2-4ac=49+680
\n" ); document.write( "b^2-4ac=729
\n" ); document.write( "sqrt(729)=27
\n" ); document.write( " $\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"$
\n" ); document.write( " $\"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"$
\n" ); document.write( "x1=(-7+27)/4
\n" ); document.write( "x1=5
\n" ); document.write( "x2=(-7-27)/4
\n" ); document.write( "x2= -8.5
\n" ); document.write( " \n" ); document.write( "

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