document.write( "Question 143961: \"%28x+%2B+3%29%5E2+=+28\"
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Algebra.Com's Answer #104770 by nabla(475)\"\" \"About 
You can put this solution on YOUR website!
(x + 3)^2 = 28\r
\n" ); document.write( "\n" ); document.write( "expand LEFT\r
\n" ); document.write( "\n" ); document.write( "x^2+6x+9=28\r
\n" ); document.write( "\n" ); document.write( "shift RIGHT to LEFT\r
\n" ); document.write( "\n" ); document.write( "x^2+6x-19=0\r
\n" ); document.write( "\n" ); document.write( "USE QUADRATIC FORMULA\r
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"1x%5E2%2B6x%2B-19+=+0\") has the following solutons:
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\n" ); document.write( " \"x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"
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\n" ); document.write( " For these solutions to exist, the discriminant \"b%5E2-4ac\" should not be a negative number.
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\n" ); document.write( " First, we need to compute the discriminant \"b%5E2-4ac\": \"b%5E2-4ac=%286%29%5E2-4%2A1%2A-19=112\".
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\n" ); document.write( " Discriminant d=112 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-6%2B-sqrt%28+112+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%286%29%2Bsqrt%28+112+%29%29%2F2%5C1+=+2.29150262212918\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%286%29-sqrt%28+112+%29%29%2F2%5C1+=+-8.29150262212918\"
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\n" ); document.write( " Quadratic expression \"1x%5E2%2B6x%2B-19\" can be factored:
\n" ); document.write( " \"1x%5E2%2B6x%2B-19+=+1%28x-2.29150262212918%29%2A%28x--8.29150262212918%29\"
\n" ); document.write( " Again, the answer is: 2.29150262212918, -8.29150262212918.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B6%2Ax%2B-19+%29\"

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\n" ); document.write( "\n" ); document.write( "Additionally,
\n" ); document.write( "(x + 3)^2 = 28
\n" ); document.write( "x+3=+/- sqrt(28)
\n" ); document.write( "x=-3+/-sqrt(28)
\n" ); document.write( "x=-3+/- 2sqrt(7)
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