document.write( "Question 870032: Please help with this problem:\r
\n" ); document.write( "\n" ); document.write( "sqrt(2x+3) + sqrt(x-2) =2 \n" ); document.write( "

Algebra.Com's Answer #524664 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
I don't this can have a solution, but let's see.
\n" ); document.write( ":
\n" ); document.write( " $\"sqrt%282x%2B3%29+%2B+sqrt%28x-2%29+=+2\"$
\n" ); document.write( "subtrac sqrt(x-2) from both sides
\n" ); document.write( " $\"sqrt%282x%2B3%29+=+2+-+sqrt%28x-2%29\"$
\n" ); document.write( "Square both sides, the right side needs to be FOILed
\n" ); document.write( " $\"%282x%2B3%29+=+4+-+4sqrt%28x-2%29%2B+%28x-2%29\"$
\n" ); document.write( " $\"%282x%2B3%29+=+x+%2B+4+-+2+-+4sqrt%28x-2%29%29\"$
\n" ); document.write( " $\"%282x%2B3%29+=+x+%2B+2+-+4sqrt%28x-2%29\"$
\n" ); document.write( "combine like terms on the left
\n" ); document.write( " $\"2x+-+x+%2B+3+-+2+=+-4sqrt%28x-2%29\"$
\n" ); document.write( " $\"%28x+%2B+1%29+=+-4sqrt%28x-2%29\"$
\n" ); document.write( "square both sides again, the left side is FOILed
\n" ); document.write( " $\"x%5E2+%2B+2x+%2B+1+=+16%28x-2%29\"$
\n" ); document.write( " $\"x%5E2+%2B+2x+%2B+1+=+16x+-+32\"$
\n" ); document.write( "x^2 + 2x - 16x + 1 + 32 = 0
\n" ); document.write( "x^2 - 14x + 33 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x-11)(x-3) = 0
\n" ); document.write( "Two solutions
\n" ); document.write( "x = 11
\n" ); document.write( "x = 3
\n" ); document.write( "Try both solutions in the original problem, neither works, so there is no solution\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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