document.write( "Question 467792: USE QUADRATIC FORMULA FOR
\n" ); document.write( "4X^2=3
\n" ); document.write( "

Algebra.Com's Answer #320992 by jorel1380(3719)\"\" \"About 
You can put this solution on YOUR website!
4x2-3=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 \"4x%5E2%2B0x%2B-3+=+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=%280%29%5E2-4%2A4%2A-3=48\".
\n" ); document.write( "
\n" ); document.write( " Discriminant d=48 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-0%2B-sqrt%28+48+%29%29%2F2%5Ca\".
\n" ); document.write( "
\n" ); document.write( " \"x%5B1%5D+=+%28-%280%29%2Bsqrt%28+48+%29%29%2F2%5C4+=+0.866025403784439\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%280%29-sqrt%28+48+%29%29%2F2%5C4+=+-0.866025403784439\"
\n" ); document.write( "
\n" ); document.write( " Quadratic expression \"4x%5E2%2B0x%2B-3\" can be factored:
\n" ); document.write( " \"4x%5E2%2B0x%2B-3+=+4%28x-0.866025403784439%29%2A%28x--0.866025403784439%29\"
\n" ); document.write( " Again, the answer is: 0.866025403784439, -0.866025403784439.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+4%2Ax%5E2%2B0%2Ax%2B-3+%29\"
\n" ); document.write( "
\n" ); document.write( "
\n" );