document.write( "Question 150983: I don't have a book. This is a summer assignment.\r
\n" ); document.write( "\n" ); document.write( "Solve the following eqation \"+x%5E2+%2B+10x+-+16+=+0+\"
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Algebra.Com's Answer #110919 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"x%5E2%2B10x-16=0\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "Notice we have a quadratic equation in the form of \"ax%5E2%2Bbx%2Bc\" where \"a=1\", \"b=10\", and \"c=-16\"\r
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\n" ); document.write( "\n" ); document.write( "Let's use the quadratic formula to solve for x\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29\" Start with the quadratic formula\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-%2810%29+%2B-+sqrt%28+%2810%29%5E2-4%281%29%28-16%29+%29%29%2F%282%281%29%29\" Plug in \"a=1\", \"b=10\", and \"c=-16\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-10+%2B-+sqrt%28+100-4%281%29%28-16%29+%29%29%2F%282%281%29%29\" Square \"10\" to get \"100\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-10+%2B-+sqrt%28+100--64+%29%29%2F%282%281%29%29\" Multiply \"4%281%29%28-16%29\" to get \"-64\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-10+%2B-+sqrt%28+100%2B64+%29%29%2F%282%281%29%29\" Rewrite \"sqrt%28100--64%29\" as \"sqrt%28100%2B64%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-10+%2B-+sqrt%28+164+%29%29%2F%282%281%29%29\" Add \"100\" to \"64\" to get \"164\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-10+%2B-+sqrt%28+164+%29%29%2F%282%29\" Multiply \"2\" and \"1\" to get \"2\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-10+%2B-+2%2Asqrt%2841%29%29%2F%282%29\" Simplify the square root (note: If you need help with simplifying square roots, check out this solver) \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-10%29%2F%282%29+%2B-+%282%2Asqrt%2841%29%29%2F%282%29\" Break up the fraction. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+-5+%2B-+sqrt%2841%29\" Reduce. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+-5%2Bsqrt%2841%29\" or \"x+=+-5-sqrt%2841%29\" Break up the expression. \r
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\n" ); document.write( "\n" ); document.write( "So our answers are \"x+=+-5%2Bsqrt%2841%29\" or \"x+=+-5-sqrt%2841%29\" \r
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\n" ); document.write( "\n" ); document.write( "which approximate to \"x=1.403\" or \"x=-11.403\"
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