document.write( "Question 791362: -9x^2 + 3x - 11 = 0 \r
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Algebra.Com's Answer #479551 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 $\"-9%2Ax%5E2%2B3%2Ax-11=0\"$ ( notice $\"a=-9\"$ , $\"b=3\"$ , and $\"c=-11\"$ )
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\n" ); document.write( " $\"x+=+%28-3+%2B-+sqrt%28+%283%29%5E2-4%2A-9%2A-11+%29%29%2F%282%2A-9%29\"$ Plug in a=-9, b=3, and c=-11
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\n" ); document.write( " $\"x+=+%28-3+%2B-+sqrt%28+9-4%2A-9%2A-11+%29%29%2F%282%2A-9%29\"$ Square 3 to get 9
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\n" ); document.write( " $\"x+=+%28-3+%2B-+sqrt%28+9%2B-396+%29%29%2F%282%2A-9%29\"$ Multiply $\"-4%2A-11%2A-9\"$ to get $\"-396\"$
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\n" ); document.write( " $\"x+=+%28-3+%2B-+sqrt%28+-387+%29%29%2F%282%2A-9%29\"$ Combine like terms in the radicand (everything under the square root)
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\n" ); document.write( " $\"x+=+%28-3+%2B-+3%2Ai%2Asqrt%2843%29%29%2F%282%2A-9%29\"$ 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( " $\"x+=+%28-3+%2B-+3%2Ai%2Asqrt%2843%29%29%2F%28-18%29\"$ Multiply 2 and -9 to get -18
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\n" ); document.write( " After simplifying, the quadratic has roots of
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\n" ); document.write( " $\"x=1%2F6-sqrt%2843%29%2F6%2Ai\"$ or $\"x=1%2F6%2Bsqrt%2843%29%2F6%2Ai\"$
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