document.write( "Question 958485: Solve the radical equation. [SQRT(x + 3)] - [SQRT(x - 2)] =1 \n" ); document.write( "

Algebra.Com's Answer #585778 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " $\"sqrt%28x%2B3%29-sqrt%28x-2%29=1\"$ ..............square both sides\r
\n" ); document.write( "\n" ); document.write( " $\"%28sqrt%28x%2B3%29-sqrt%28x-2%29%29%5E2=1%5E1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28sqrt%28x%2B3%29%29%5E2-2%2Asqrt%28x%2B3%29%2Asqrt%28x-2%29%2B%28sqrt%28x-2%29%29%5E2=1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%2B3-2%2Asqrt%28%28x%2B3%29%28x-2%29%29%2Bx-2=1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x%2B1-2%2Asqrt%28%28x%2B3%29%28x-2%29%29=1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x%2B1-1=2%2Asqrt%28%28x%2B3%29%28x-2%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x=2%2Asqrt%28x%5E2-2x%2B3x-6%29\"$ .........square both sides again\r
\n" ); document.write( "\n" ); document.write( " $\"4x%5E2=4%2A%28x%5E2%2Bx-6%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"cross%284x%5E2%29=cross%284x%5E2%29%2B4x-24\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"0=4x-24\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"24=4x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=24%2F4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=6\"$ \r
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