document.write( "Question 103666: Solve. x^2 – 10x + 16 = 0 \n" ); document.write( "

Algebra.Com's Answer #75368 by Fombitz(32388) $\"\"$ $\"About$

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x^2 – 10x + 16 = 0
\n" ); document.write( "You can factor this equation into a form:
\n" ); document.write( " $\"%28x%2Ba%29%28x%2Bb%29=0\"$
\n" ); document.write( "where
\n" ); document.write( " $\"a%2Bb=-10\"$
\n" ); document.write( " $\"a%2Ab=16\"$
\n" ); document.write( "When you look at factors of 16 (1,16),(2,8),(4,4), you can pick out the factor pair that sums to 10 that is (2,8).
\n" ); document.write( "Now you just need to get the signs right.
\n" ); document.write( "They need to sum to -10, so you can use -2 and -8 since
\n" ); document.write( " $\"-2%2B%28-8%29=-10+\"$ and $\"%28-2%29%2A%28-8%29=16\"$
\n" ); document.write( "So your equation becomes
\n" ); document.write( " $\"x%5E2-10x%2B16=%28x%2B%28-2%29%29%28x%2B%28-8%29%29=0\"$
\n" ); document.write( " $\"x%5E2-10x%2B16=%28x-2%29%28x-8%29=0\"$
\n" ); document.write( " $\"%28x-2%29=0\"$ and $\"%28x-8%29=0\"$
\n" ); document.write( "x=2 and x=8 make this equation true. \n" ); document.write( "

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