document.write( "Question 665332: Hello,
\n" ); document.write( "I am having trouble trying to figure out how to solve an equation. I just started college after being out for over 15 years so a step by step answer would be greatly appreciated.
\n" ); document.write( "The perimeter of a quadrilateral is 70 inches. Find the lengths of the sides. The sides are x+2, x-5, 2x-1 and x^2-3x.
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Algebra.Com's Answer #413804 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Hi.
\n" ); document.write( "I always say to think of the equals sign as a balance point, and whatever
\n" ); document.write( "you do to one side you must do to the other side, or else you will
\n" ); document.write( "throw the equation out of balance.
\n" ); document.write( "\"+x+%2B+2+%2B+x+-+5+%2B+2x+-+1+%2B+x%5E2+-+3x+=+70+\"
\n" ); document.write( "Group the \"+x+\" terms and constant terms together
\n" ); document.write( "\"+x%5E2+%2B+x+%2B+x+%2B+2x+-+3x+%2B+2+-+5+-+1+=+70+\"
\n" ); document.write( "Add the \"+x+\" terms and constant terms
\n" ); document.write( "\"+x%5E2+%2B+x+-+4+=+70+\"
\n" ); document.write( "Subtract \"+70+\" from both sides
\n" ); document.write( "\"+x%5E2+%2B+x+-+74+\"
\n" ); document.write( "Use the quadratic equation
\n" ); document.write( "\"+x+=+%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+=+1+\"
\n" ); document.write( "\"+c+=+-74+\"
\n" ); document.write( "\"+x+=+%28+-1+%2B-+sqrt%28+1%5E2+-+4%2A1%2A%28-74%29+%29%29+%2F+%282%2A1%29+\"
\n" ); document.write( "\"+x+=+%28+-1+%2B-+sqrt%28+1+%2B+296+%29%29+%2F+2+\"
\n" ); document.write( "\"+x+=+%28+-1+%2B-+sqrt%28+297+%29%29+%2F+2+\"
\n" ); document.write( "\"+x+=+%28+-1+%2B+17.234+%29+%2F+2+\"
\n" ); document.write( "\"+x+=+16.234+%2F+2+\"
\n" ); document.write( "\"+x+=+8.117+\"
\n" ); document.write( "that would make the sides:
\n" ); document.write( "\"+x+%2B+2+=+10.117+\"
\n" ); document.write( "\"+x+-+5+=+3.117+\"
\n" ); document.write( "\"+2x+-+1+=+15.234+\"
\n" ); document.write( "\"+x%5E2+-+3x+=+65.886+-+24.351+\"
\n" ); document.write( "\"+x%5E2+-+3x+=+41.535+\"
\n" ); document.write( "---------------------
\n" ); document.write( "Adding these:
\n" ); document.write( "\"+10.117+%2B+3.117+%2B+15.234+%2B+41.535+=+70.003+\"
\n" ); document.write( "close enough\r
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