document.write( "Question 952602: solve for all values of x: 3+(x+3)^1/2=x
\n" ); document.write( "please show all work. \n" ); document.write( "

Algebra.Com's Answer #581771 by MathLover1(20850) $\"\"$ $\"About$

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$\"+3%2B%28x%2B3%29%5E%281%2F2%29=x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+3%2Bsqrt%28x%2B3%29=x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+sqrt%28x%2B3%29=x-3\"$ ..........square both sides\r
\n" ); document.write( "\n" ); document.write( " $\"+%28sqrt%28x%2B3%29%29%5E2=%28x-3%29%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+x%2B3=%28x-3%29%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+x%2B3=x%5E2-6x%2B9\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+0=x%5E2-6x-x%2B9-3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+%28x%5E2-x%29-%286x-6%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+x%28x-1%29-6%28x-1%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+%28x-6%29%28x-1%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "if $\"+x-6=0\"$ => $\"x=6\"$ \r
\n" ); document.write( "\n" ); document.write( "if $\"+x-1=0\"$ => $\"x=1\"$ \r
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