document.write( "Question 877641: Please help me solve this problem: sqrt (29-x)= x+1 \n" ); document.write( "
Algebra.Com's Answer #529454 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
Raise both sides to power of 2.
\n" ); document.write( "Simplify.\r
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\n" ); document.write( "\n" ); document.write( "You found x=4 or x=-7 but the key said just x=4.\r
\n" ); document.write( "\n" ); document.write( "Let us see what we can find.\r
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\n" ); document.write( "\n" ); document.write( "\"%28sqrt%2829-x%29%29%5E2=%28x%2B1%29%5E2\"
\n" ); document.write( "\"29-x=x%5E2%2B2x%2B1\"
\n" ); document.write( "\"0=x%5E2%2B2x%2B1-29%2Bx\"
\n" ); document.write( "\"x%5E2%2B3x-28=0\"---- Is that left member factorable?
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\n" ); document.write( "(x+4)(x-7), this one does not work;
\n" ); document.write( "(x-4)(x+7), this one works;
\n" ); document.write( "\"%28x-4%29%28x%2B7%29=0\"
\n" ); document.write( "One of the factors is zero or the other factor is zero.
\n" ); document.write( "x=4, OR x=-7
\n" ); document.write( "Both solutions will work. \r
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\n" ); document.write( "\n" ); document.write( "CHECK:
\n" ); document.write( "\"sqrt%2829-4%29=4%2B1\"
\n" ); document.write( "\"sqrt%2825%29=5\", Yes, x=4 works.
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\n" ); document.write( "\"sqrt%2829-%28-7%29%29=-7%2B1\"
\n" ); document.write( "\"sqrt%2836%29=-6\"
\n" ); document.write( "\"sqrt%286%2A6%29=6\" or-inclusive \"sqrt%286%2A6%29=-6\" actually; so yes, this x=-7 also will work.
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\n" ); document.write( "Both solutions are correct.
\n" ); document.write( "\"6%2A6=36\" AND \"%28-6%29%28-6%29=36\"
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