document.write( "Question 135227: Can all quadratic equations be solved by factoring? Explain with examples \n" ); document.write( "

Algebra.Com's Answer #99046 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
No! All quadratic equations are not factorable. When they are not factorable, theay are called prime. Examples:
\n" ); document.write( " $\"5x%5E2%2B2x-3+=+0\"$ This is factorable!
\n" ); document.write( " $\"%285x-3%29%28x%2B1%29+=+0\"$
\n" ); document.write( " $\"5x%5E2-2x%2B3+=+0\"$ This is prime!
\n" ); document.write( "However, all quadratic equations can be solved by:
\n" ); document.write( "a) Using the quadratic formula: $\"x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\"$
\n" ); document.write( "b) Using the \"completing-the-square\" method. \n" ); document.write( "

\n" );