document.write( "Question 874616: 5x^2+6x+7=0
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Algebra.Com's Answer #527597 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 \"5%2Ax%5E2%2B6%2Ax%2B7=0\" ( notice \"a=5\", \"b=6\", and \"c=7\")
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\n" ); document.write( " \"x+=+%28-6+%2B-+sqrt%28+%286%29%5E2-4%2A5%2A7+%29%29%2F%282%2A5%29\" Plug in a=5, b=6, and c=7
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\n" ); document.write( " \"x+=+%28-6+%2B-+sqrt%28+36-4%2A5%2A7+%29%29%2F%282%2A5%29\" Square 6 to get 36
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\n" ); document.write( " \"x+=+%28-6+%2B-+sqrt%28+36%2B-140+%29%29%2F%282%2A5%29\" Multiply \"-4%2A7%2A5\" to get \"-140\"
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\n" ); document.write( " \"x+=+%28-6+%2B-+sqrt%28+-104+%29%29%2F%282%2A5%29\" Combine like terms in the radicand (everything under the square root)
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\n" ); document.write( " \"x+=+%28-6+%2B-+2%2Ai%2Asqrt%2826%29%29%2F%282%2A5%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-+2%2Ai%2Asqrt%2826%29%29%2F%2810%29\" Multiply 2 and 5 to get 10
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\n" ); document.write( " After simplifying, the quadratic has roots of
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\n" ); document.write( " \"x=-3%2F5%2Bsqrt%2826%29%2F5%2Ai\" or \"x=-3%2F5-sqrt%2826%29%2F5%2Ai\"
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