document.write( "Question 769926: Solution of 15x2 - 24x - 132 = 0 \n" ); document.write( "
Algebra.Com's Answer #469225 by ramkikk66(644)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"15%2Ax%5E2+-+24%2Ax+-+132+=+0\" Dividing by 3\r\n" );
document.write( "\"5%2Ax%5E2+-+8%2Ax+-+44+=+0\"\r\n" );
document.write( "Solve using the inbuilt quadratic solver in this site:\r\n" );
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"5x%5E2%2B-8x%2B-44+=+0\") has the following solutons:\r\n" ); document.write( " \r\n" ); document.write( " \"x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"\r\n" ); document.write( " \r\n" ); document.write( " For these solutions to exist, the discriminant \"b%5E2-4ac\" should not be a negative number.\r\n" ); document.write( " \r\n" ); document.write( " First, we need to compute the discriminant \"b%5E2-4ac\": \"b%5E2-4ac=%28-8%29%5E2-4%2A5%2A-44=944\".\r\n" ); document.write( " \r\n" ); document.write( " Discriminant d=944 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--8%2B-sqrt%28+944+%29%29%2F2%5Ca\".\r\n" ); document.write( " \r\n" ); document.write( " \"x%5B1%5D+=+%28-%28-8%29%2Bsqrt%28+944+%29%29%2F2%5C5+=+3.87245829914744\"\r\n" ); document.write( " \"x%5B2%5D+=+%28-%28-8%29-sqrt%28+944+%29%29%2F2%5C5+=+-2.27245829914744\"\r\n" ); document.write( " \r\n" ); document.write( " Quadratic expression \"5x%5E2%2B-8x%2B-44\" can be factored:\r\n" ); document.write( " \"5x%5E2%2B-8x%2B-44+=+5%28x-3.87245829914744%29%2A%28x--2.27245829914744%29\"\r\n" ); document.write( " Again, the answer is: 3.87245829914744, -2.27245829914744.\n" ); document.write( "Here's your graph:\n" ); document.write( "\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+5%2Ax%5E2%2B-8%2Ax%2B-44+%29\"
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