document.write( "Question 110340: Can anyone help me with this?\r
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\n" ); document.write( "\n" ); document.write( "5x^2+3x+5=0 \n" ); document.write( "
Algebra.Com's Answer #80435 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%2B3%2Ax%2B5=0\" ( notice \"a=5\", \"b=3\", and \"c=5\")
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\n" ); document.write( " \"x+=+%28-3+%2B-+sqrt%28+%283%29%5E2-4%2A5%2A5+%29%29%2F%282%2A5%29\" Plug in a=5, b=3, and c=5
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\n" ); document.write( " \"x+=+%28-3+%2B-+sqrt%28+9-4%2A5%2A5+%29%29%2F%282%2A5%29\" Square 3 to get 9
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\n" ); document.write( " \"x+=+%28-3+%2B-+sqrt%28+9%2B-100+%29%29%2F%282%2A5%29\" Multiply \"-4%2A5%2A5\" to get \"-100\"
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\n" ); document.write( " \"x+=+%28-3+%2B-+sqrt%28+-91+%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+=+%28-3+%2B-+i%2Asqrt%2891%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+=+%28-3+%2B-+i%2Asqrt%2891%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%2F10%2Bsqrt%2891%29%2F10%2Ai\" or \"x=-3%2F10-sqrt%2891%29%2F10%2Ai\"
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