document.write( "Question 550663: what is the solution set of the equation x^2-7x =-6 \n" ); document.write( "

Algebra.Com's Answer #358971 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+x%5E2+-+7x+=+-6+\"$
\n" ); document.write( "Complete the square
\n" ); document.write( " $\"+x%5E2+-+7x+%2B+%287%2F2%29%5E2+=+-6+%2B+%287%2F2%29%5E2+\"$
\n" ); document.write( " $\"+x%5E2+-+7x+%2B+49%2F4+=+-24%2F4+%2B+49%2F4+\"$
\n" ); document.write( " $\"+%28+x+-+7%2F2+%29%5E2+=+25%2F4+\"$
\n" ); document.write( "take the square root of both sides
\n" ); document.write( " $\"+x+-+7%2F2+=+5%2F2+\"$
\n" ); document.write( " $\"+x+=+12%2F2+\"$
\n" ); document.write( " $\"+x+=+6+\"$
\n" ); document.write( "and, taking the negative square root,
\n" ); document.write( " $\"+x+-+7%2F2+=+-5%2F2+\"$
\n" ); document.write( " $\"+x+=+2%2F2+\"$
\n" ); document.write( " $\"+x+=+1+\"$
\n" ); document.write( "The solution set is (6,0) and (1,0)
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+x+-+6+%29%2A%28+x+-+1+%29+=+0+\"$
\n" ); document.write( " $\"+%28+x+-+6+%29%2A%28+x+-+1+%29+=+x%5E2+-+7x+%2B+6+\"$
\n" ); document.write( " $\"+x%5E2+-+7x+%2B+6+=+0+\"$
\n" ); document.write( " $\"+x%5E2+-+7x+=+-6+\"$
\n" ); document.write( "OK \n" ); document.write( "

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