document.write( "Question 149800This question is from textbook Introductory Algebra
\n" ); document.write( ": 1/4(8y+4)-17=1/2(4y-8) \n" ); document.write( "
Algebra.Com's Answer #109913 by vleith(2983)\"\" \"About 
You can put this solution on YOUR website!
I can't tell if you mean \"1%2F%284%288y%2B4%29%29\" or \"%288y%2B4%29%2F4\"\r
\n" ); document.write( "\n" ); document.write( "Parens are cheap - no need to be stingy with them.\r
\n" ); document.write( "\n" ); document.write( "I'll assume you mean
\n" ); document.write( "\"%281%2F4%29%288y%2B4%29-17=%281%2F2%29%284y-8%29\"
\n" ); document.write( "\"%282y%2B1%29+-+17+=+%282y+-+4%29\"
\n" ); document.write( "\"-16+=+-4\"
\n" ); document.write( "This is not true. So my original assumption on the problem must have been wrong.\r
\n" ); document.write( "\n" ); document.write( "Now let's assume you meant\r
\n" ); document.write( "\n" ); document.write( "\"%281%2F%284%288y%2B4%29%29%29-17=%281%2F%282%284y-8%29%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"%281%2F%2816%282y%2B1%29%29%29-17=%281%2F%288%28y-2%29%29%29\" Multiply by 16\r
\n" ); document.write( "\n" ); document.write( "\"%281%2F%282y%2B1%29%29-272=%282%2F%28y-2%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"%281%2F%282y%2B1%29%29-272+-%282%2F%28y-2%29%29=+0\" Get a common denominator
\n" ); document.write( " Don't forget the denominator. We'll need to check the answers we get to make sure they don't result in a 0 in the denominator.\r
\n" ); document.write( "\n" ); document.write( "\"%28+%28y-2%29+-272%28y-2%29%282y%2B1%29+-+2%282y%2B1%29+%29=+0\"
\n" ); document.write( "\"+y+-+2+-+272%282y%5E2+-3y+-+2%29+-+4y+-+2+=+0+\"
\n" ); document.write( "\"-544y%5E2+%2B+816y+%2B+544+-3y+-4+=+0\"
\n" ); document.write( "\"544y%5E2+-813y+-540+=+0\"
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"544x%5E2%2B-813x%2B-540+=+0\") has the following solutons:
\n" ); document.write( "
\n" ); document.write( " \"x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"
\n" ); document.write( "
\n" ); document.write( " For these solutions to exist, the discriminant \"b%5E2-4ac\" should not be a negative number.
\n" ); document.write( "
\n" ); document.write( " First, we need to compute the discriminant \"b%5E2-4ac\": \"b%5E2-4ac=%28-813%29%5E2-4%2A544%2A-540=1836009\".
\n" ); document.write( "
\n" ); document.write( " Discriminant d=1836009 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--813%2B-sqrt%28+1836009+%29%29%2F2%5Ca\".
\n" ); document.write( "
\n" ); document.write( " \"x%5B1%5D+=+%28-%28-813%29%2Bsqrt%28+1836009+%29%29%2F2%5C544+=+1.99264163228685\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-813%29-sqrt%28+1836009+%29%29%2F2%5C544+=+-0.498156338169206\"
\n" ); document.write( "
\n" ); document.write( " Quadratic expression \"544x%5E2%2B-813x%2B-540\" can be factored:
\n" ); document.write( " \"544x%5E2%2B-813x%2B-540+=+544%28x-1.99264163228685%29%2A%28x--0.498156338169206%29\"
\n" ); document.write( " Again, the answer is: 1.99264163228685, -0.498156338169206.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+544%2Ax%5E2%2B-813%2Ax%2B-540+%29\"

\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The solutions are 'close to the zeroes' in the original denominator, but not equal\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );