document.write( "Question 104968: Solve. x^2 + 6x – 27 = 0 \n" ); document.write( "
Algebra.Com's Answer #76418 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
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Solved by pluggable solver: Quadratic Formula
Let's use the quadratic formula to solve for x:

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\n" ); document.write( " Starting with the general quadratic
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\n" ); document.write( " \"ax%5E2%2Bbx%2Bc=0\"
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\n" ); document.write( " the general solution using the quadratic equation is:
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\n" ); document.write( " \"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29\"
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\n" ); document.write( " So lets solve \"x%5E2%2B6%2Ax-27=0\" ( notice \"a=1\", \"b=6\", and \"c=-27\")
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\n" ); document.write( " \"x+=+%28-6+%2B-+sqrt%28+%286%29%5E2-4%2A1%2A-27+%29%29%2F%282%2A1%29\" Plug in a=1, b=6, and c=-27
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\n" ); document.write( " \"x+=+%28-6+%2B-+sqrt%28+36-4%2A1%2A-27+%29%29%2F%282%2A1%29\" Square 6 to get 36
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\n" ); document.write( " \"x+=+%28-6+%2B-+sqrt%28+36%2B108+%29%29%2F%282%2A1%29\" Multiply \"-4%2A-27%2A1\" to get \"108\"
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\n" ); document.write( " \"x+=+%28-6+%2B-+sqrt%28+144+%29%29%2F%282%2A1%29\" Combine like terms in the radicand (everything under the square root)
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\n" ); document.write( " \"x+=+%28-6+%2B-+12%29%2F%282%2A1%29\" Simplify the square root (note: If you need help with simplifying the square root, check out this solver)
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\n" ); document.write( " \"x+=+%28-6+%2B-+12%29%2F2\" Multiply 2 and 1 to get 2
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\n" ); document.write( " So now the expression breaks down into two parts
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\n" ); document.write( " \"x+=+%28-6+%2B+12%29%2F2\" or \"x+=+%28-6+-+12%29%2F2\"
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\n" ); document.write( " Lets look at the first part:
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\n" ); document.write( " \"x=%28-6+%2B+12%29%2F2\"
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\n" ); document.write( " \"x=6%2F2\" Add the terms in the numerator
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\n" ); document.write( " \"x=3\" Divide
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\n" ); document.write( " So one answer is
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\n" ); document.write( " \"x=3\"
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\n" ); document.write( " Now lets look at the second part:
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\n" ); document.write( " \"x=%28-6+-+12%29%2F2\"
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\n" ); document.write( " \"x=-18%2F2\" Subtract the terms in the numerator
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\n" ); document.write( " \"x=-9\" Divide
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\n" ); document.write( " So another answer is
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\n" ); document.write( " \"x=-9\"
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\n" ); document.write( " So our solutions are:
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\n" ); document.write( " \"x=3\" or \"x=-9\"
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