document.write( "Question 397833: Factor the expression: x^2 - 7x + 10 \n" ); document.write( "

Algebra.Com's Answer #281850 by josmiceli(19441) $\"\"$ $\"About$

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You can do this by completing the square.
\n" ); document.write( " $\"x%5E2+-+7x+=+-10\"$
\n" ); document.write( " $\"x%5E2+-+7x+%2B+%287%2F2%29%5E2+=+-+10+%2B+%287%2F2%29%5E2\"$
\n" ); document.write( " $\"x%5E2+-+7x+%2B+49%2F4+=+-+40%2F4+%2B+49%2F4\"$
\n" ); document.write( "Now both sides are a perfect square
\n" ); document.write( " $\"%28x+-+7%2F2%29%5E2+=+%283%2F2%29%5E2\"$
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( "(1) $\"x+-+7%2F2+=+3%2F2\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"x+-+7%2F2+=+-3%2F2\"$
\n" ); document.write( "--------------
\n" ); document.write( "solving:
\n" ); document.write( "(1) $\"x+=+7%2F2+%2B+3%2F2\"$
\n" ); document.write( "(1) $\"x+=+5\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"x+-+7%2F2+=+-3%2F2\"$
\n" ); document.write( "(2) $\"x+=+7%2F2+-+3%2F2\"$
\n" ); document.write( "(2) $\"x+=+2\"$
\n" ); document.write( "------------------
\n" ); document.write( "Then
\n" ); document.write( " $\"x+-+5+=+0\"$
\n" ); document.write( " $\"x+-+2+=+0\"$
\n" ); document.write( "therefore
\n" ); document.write( " $\"%28x+-+2%29%2A%28x+-+5%29+=+x%5E2+-+7x+%2B+10\"$ \n" ); document.write( "

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