document.write( "Question 248250: Use the quadratic formula to solve the equation. If the equation has no real number solutions, so state. x^2 + 7x + 2 = 0 \n" ); document.write( "
Algebra.Com's Answer #180928 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%2B7%2Ax%2B2=0\" ( notice \"a=1\", \"b=7\", and \"c=2\")
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\n" ); document.write( " \"x+=+%28-7+%2B-+sqrt%28+%287%29%5E2-4%2A1%2A2+%29%29%2F%282%2A1%29\" Plug in a=1, b=7, and c=2
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\n" ); document.write( " \"x+=+%28-7+%2B-+sqrt%28+49-4%2A1%2A2+%29%29%2F%282%2A1%29\" Square 7 to get 49
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\n" ); document.write( " \"x+=+%28-7+%2B-+sqrt%28+49%2B-8+%29%29%2F%282%2A1%29\" Multiply \"-4%2A2%2A1\" to get \"-8\"
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\n" ); document.write( " \"x+=+%28-7+%2B-+sqrt%28+41+%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+=+%28-7+%2B-+sqrt%2841%29%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+=+%28-7+%2B-+sqrt%2841%29%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+=+%28-7+%2B+sqrt%2841%29%29%2F2\" or \"x+=+%28-7+-+sqrt%2841%29%29%2F2\"
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\n" ); document.write( " Now break up the fraction
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\n" ); document.write( " \"x=-7%2F2%2Bsqrt%2841%29%2F2\" or \"x=-7%2F2-sqrt%2841%29%2F2\"
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\n" ); document.write( " Simplify
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\n" ); document.write( " \"x=-7%2F2%2Bsqrt%2841%29%2F2\" or \"x=-7%2F2-sqrt%2841%29%2F2\"
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\n" ); document.write( " So the solutions are:
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\n" ); document.write( " \"x=-7%2F2%2Bsqrt%2841%29%2F2\" or \"x=-7%2F2-sqrt%2841%29%2F2\"
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