document.write( "Question 742835: Solve
\n" ); document.write( "If f(x)= $\"sqrt%282x-3%29\"$ and g(x)= $\"sqrt%28x%2B7%29\"$ -2,find any x for which f(x)=g(x) \n" ); document.write( "

Algebra.Com's Answer #452645 by MathLover1(20849) $\"\"$ $\"About$

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$\"f%28x%29=sqrt%282x-3%29\"$ and $\"g%28x%29=sqrt%28x%2B7%29-2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=g%28x%29\"$ for:\r
\n" ); document.write( "\n" ); document.write( " $\"sqrt%282x-3%29=sqrt%28x%2B7%29-2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28sqrt%282x-3%29%29%5E2=%28sqrt%28x%2B7%29-2%29%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x-3=%28sqrt%28x%2B7%29%29%5E2-2%28-2%29%28sqrt%28x%2B7%29%29%2B%28-2%29%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x-3=x%2B7%2B4%28sqrt%28x%2B7%29%29%2B4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x-x-7-4-3=4sqrt%28x%2B7%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x-14=4sqrt%28x%2B7%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-14%29%5E2=%284sqrt%28x%2B7%29%29%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2-28x%2B196=16%28x%2B7%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2-28x%2B196=16x%2B112\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2-28x%2B196-16x-112=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2-44x%2B84=0\"$ .......write $\"-44x\"$ as $\"-2x-42x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2-2x-42x%2B84=0\"$ ...group\r
\n" ); document.write( "\n" ); document.write( " $\"%28x%5E2-2x%29-%2842x-84%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%28x-2%29-42%28x-2%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-42%29%28x-2%29=0\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "if
\n" ); document.write( " $\"%28x-42%29=0\"$ => $\"x=42\"$
\n" ); document.write( "
\n" ); document.write( "if
\n" ); document.write( " $\"%28x-2%29=0\"$ => $\"x=2\"$ \r
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\n" ); document.write( "\n" ); document.write( "

\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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