document.write( "Question 414895: I am having trouble with a quadratic word problem. The word problem is as follows:
\n" ); document.write( "The sides of one square have length 3 m more than the sides of a second square. If the area of the larger square is subtracted from 4 times the area of the smaller square, the result is 36 m^2. What are the lengths of the sides of each square? \n" ); document.write( "

Algebra.Com's Answer #290952 by josmiceli(19441) $\"\"$ $\"About$

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Let the side of the larger square = $\"s+%2B+3\"$ m
\n" ); document.write( "The side of the smaller square = $\"s\"$ m
\n" ); document.write( "given:
\n" ); document.write( " $\"+4s%5E2+-+%28s+%2B+3%29%2A%28s+%2B+3%29+=+36\"$ m2
\n" ); document.write( " $\"4s%5E2+-+%28s%5E2+%2B+6s+%2B+9%29+=+36\"$
\n" ); document.write( " $\"+3s%5E2+-+6s++-+45+=+0\"$
\n" ); document.write( " $\"s%5E2+-+2s+-+15+=+0\"$
\n" ); document.write( " $\"s+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"a+=+1\"$
\n" ); document.write( " $\"b+=+-2\"$
\n" ); document.write( " $\"c+=+-15\"$
\n" ); document.write( " $\"s+=+%28-%28-2%29+%2B-+sqrt%28+%28-2%29%5E2-4%2A1%2A%28-15%29+%29%29%2F%282%2A1%29+\"$
\n" ); document.write( " $\"s+=+%28+2+%2B-+sqrt%28+4+%2B+60+%29%29+%2F+2+\"$
\n" ); document.write( " $\"s+=+%282+%2B+8%29%2F2\"$ (can't use the negative root)
\n" ); document.write( " $\"s+=+5\"$
\n" ); document.write( "and
\n" ); document.write( " $\"s+%2B+3+=+8\"$
\n" ); document.write( "The sides are 5 m and 8 m
\n" ); document.write( "check answer:
\n" ); document.write( " $\"+4s%5E2+-+%28s+%2B+3%29%2A%28s+%2B+3%29+=+36\"$
\n" ); document.write( " $\"+4%2A5%5E2+-+%285+%2B+3%29%2A%285+%2B+3%29+=+36\"$
\n" ); document.write( " $\"100+-+64+=+36\"$
\n" ); document.write( " $\"36+=+36\"$
\n" ); document.write( "OK \n" ); document.write( "

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