document.write( "Question 141041: Help solving this problem; y-2-8 sqrt(y-2) +15= 0 \n" ); document.write( "
Algebra.Com's Answer #102692 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"y-2-8%2Asqrt%28y-2%29+%2B15=+0\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"y-8%2Asqrt%28y-2%29+%2B13=+0\" Combine like terms\r
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\n" ); document.write( "\n" ); document.write( "\"y-8%2Asqrt%28y-2%29=-13\" Subtract 13 from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"-8%2Asqrt%28y-2%29=-13-y\" Subtract y from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"64%28y-2%29=%28-13-y%29%5E2\" Square both sides\r
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\n" ); document.write( "\n" ); document.write( "\"64%28y-2%29=169%2B26y%2By%5E2\" Foil the right side\r
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\n" ); document.write( "\n" ); document.write( "\"64y-128=169%2B26y%2By%5E2\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"0=169%2B26y%2By%5E2-64y%2B128\" Subtract 64y from both sides. Add 128 to both sides. \r
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\n" ); document.write( "\n" ); document.write( "\"0=y%5E2-38y%2B297\" Combine like terms\r
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\n" ); document.write( "\n" ); document.write( "\"0=%28y-27%29%28y-11%29\" Factor the right side (note: if you need help with factoring, check out this solver)\r
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\n" ); document.write( "\n" ); document.write( "Now set each factor equal to zero:\r
\n" ); document.write( "\n" ); document.write( "\"y-27=0\" or \"y-11=0\" \r
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\n" ); document.write( "\n" ); document.write( "\"y=27\" or \"y=11\" Now solve for y in each case\r
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\n" ); document.write( "\n" ); document.write( "So our answers are\r
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\n" ); document.write( "\n" ); document.write( " \"y=27\" or \"y=11\" \r
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