document.write( "Question 176972This question is from textbook Merril Algebra 2 with Trigonometry
\n" ); document.write( ": The square root of x plus 6 minus the square root of x equals the square root of two. what is x?\r
\n" ); document.write( "\n" ); document.write( "The square root of c plus 4 equals the square root of c plus 20 minus 2 ( the minus two is not in the radical sign). What is x?
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Algebra.Com's Answer #132031 by stanbon(75887)\"\" \"About 
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The square root of x plus 6 minus the square root of x equals the square root of two. what is x?
\n" ); document.write( "Equation:
\n" ); document.write( "sqrt(x+6) - sqrt(x) = sqrt(2)
\n" ); document.write( "Square both sides to get:
\n" ); document.write( "x+6 -2sqrt(x^2+6x) + x = 2
\n" ); document.write( "2sqrt(x^2+6x) = 2x + 4\r
\n" ); document.write( "\n" ); document.write( "sqrt(x^2+x) = x + 2\r
\n" ); document.write( "\n" ); document.write( "Square both sides to get:
\n" ); document.write( "x^2 + x = x^2 + 4x + 4
\n" ); document.write( "3x = -4\r
\n" ); document.write( "\n" ); document.write( "x = -4/3
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\n" ); document.write( "But sqrt(-4/3) is not a Real Number, so no solution.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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\n" ); document.write( "The square root of c plus 4 equals the square root of c plus 20 minus 2 ( the minus two is not in the radical sign). What is x?
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