document.write( "Question 1131612: √5x+1 +√x+1 =√10x+6 \n" ); document.write( "
Algebra.Com's Answer #748277 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"sqrt%285x%2B1%29+%2Bsqrt%28x%2B1%29+=sqrt%2810x%2B6+%29\"....square both sides\r
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\n" ); document.write( "\n" ); document.write( "\"%28sqrt%285x%2B1%29+%2Bsqrt%28x%2B1%29+%29%5E2=%28sqrt%2810x%2B6+%29%29%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"5x%2B1%2B2sqrt%285x%2B1%29+%2Asqrt%28x%2B1%29%2Bx%2B1=10x%2B6+\"\r
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\n" ); document.write( "\n" ); document.write( "\"6x%2B2%2B2sqrt%28%285x%2B1%29+%28x%2B1%29%29=10x%2B6+\"\r
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\n" ); document.write( "\n" ); document.write( "\"2sqrt%28%285x%2B1%29+%28x%2B1%29%29=10x-6x%2B6+-2\"\r
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\n" ); document.write( "\n" ); document.write( "\"2sqrt%28%285x%2B1%29+%28x%2B1%29%29=4x%2B4\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%28%285x%2B1%29+%28x%2B1%29%29=4x%2F2%2B4%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%28%285x%2B1%29+%28x%2B1%29%29=2x%2B2\"....square both sides\r
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\n" ); document.write( "\n" ); document.write( "\"%28sqrt%28%285x%2B1%29+%28x%2B1%29%29%29%5E2=%282x%2B2%29%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"%285x%2B1%29+%28x%2B1%29=4x%5E2%2B8x%2B4\"\r
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\n" ); document.write( "\n" ); document.write( "\"5x%5E2+%2B+6+x+%2B+1=4x%5E2%2B8x%2B4\"\r
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\n" ); document.write( "\n" ); document.write( "\"5x%5E2+%2B+6+x+%2B+1-4x%5E2-8x-4=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2+-2x-3=0\"...factor\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2+%2Bx-3x-3=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%5E2+%2Bx%29-%283x%2B3%29=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%28x+%2B1%29-3%28x%2B1%29=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x-3%29%28x%2B1%29=0\"\r
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\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "\"x=3\"\r
\n" ); document.write( "\n" ); document.write( "\"x=-1\"\r
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