document.write( "Question 551791: Solve 16 + 3 =5
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\n" ); document.write( " x+5 x-2
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Algebra.Com's Answer #359922 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
Solve 16 + 3 =5
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\n" ); document.write( " x+5 x-2
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\n" ); document.write( "You're going to some trouble just to make things confusing.
\n" ); document.write( "I think you mean:
\n" ); document.write( "\"16%2F%28x%2B5%29+%2B+3%2F%28x-2%29+=+5\"
\n" ); document.write( "Multiply thru by (x+5)*(x-2)
\n" ); document.write( "\"16%28x-2%29+%2B+3%28x%2B5%29+=+5%28x%2B5%29%28x-2%29+=+5x%5E2+%2B+15x+-+50\"
\n" ); document.write( "\"19x+-+17+=+5x%5E2+%2B+15x+-+50\"
\n" ); document.write( "\"5x%5E2+-+4x+-+33+=+0\"
\n" ); document.write( "Can you finish it?
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Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"5x%5E2%2B-4x%2B-33+=+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=%28-4%29%5E2-4%2A5%2A-33=676\".
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\n" ); document.write( " Discriminant d=676 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--4%2B-sqrt%28+676+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-4%29%2Bsqrt%28+676+%29%29%2F2%5C5+=+3\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-4%29-sqrt%28+676+%29%29%2F2%5C5+=+-2.2\"
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\n" ); document.write( " Quadratic expression \"5x%5E2%2B-4x%2B-33\" can be factored:
\n" ); document.write( " \"5x%5E2%2B-4x%2B-33+=+%28x-3%29%2A%28x--2.2%29\"
\n" ); document.write( " Again, the answer is: 3, -2.2.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+5%2Ax%5E2%2B-4%2Ax%2B-33+%29\"

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\n" ); document.write( "x = -2.2, x = 3
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