document.write( "Question 203052This question is from textbook
\n" ); document.write( ": Use the guadratic formula to solve the following. Leave irrational roots in the simplest radical form. Totaly confused please help. Thanks
\n" ); document.write( "3x^2 - 4x - 5 = 0\r
\n" ); document.write( "\n" ); document.write( "2x^2 - 3x + 1 = 0 \n" ); document.write( "

Algebra.Com's Answer #153179 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let's do the first problem to, hopefully, clear up your confusion!
\n" ); document.write( "Use the quadratic formula:
\n" ); document.write( " $\"x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\"$ to solve:
\n" ); document.write( " $\"highlight%283%29x%5E2highlight_green%28-4%29x%2Bhighlight%28-5%29+=+0\"$ Here, $\"highlight%28a+=+3%29\"$ , $\"highlight_green%28b+=+-4%29\"$ , and $\"highlight%28c+=+-5%29\"$
\n" ); document.write( "Making these substitutions into the formula, we get:
\n" ); document.write( " $\"x+=+%28-%28-4%29%2B-sqrt%28%28-4%29%5E2-4%283%29%28-5%29%29%29%2F2%283%29\"$
\n" ); document.write( " $\"x+=+%284%2B-sqrt%2816-%28-60%29%29%29%2F6\"$
\n" ); document.write( " $\"x+=+%284%2B-sqrt%2876%29%29%2F6\"$
\n" ); document.write( " $\"x+=+%284%2B-sqrt%284%2A19%29%29%2F6\"$
\n" ); document.write( " $\"x+=+%284%2B2sqrt%2819%29%29%2F6\"$ or $\"x+=+%284-2sqrt%2819%29%29%2F6\"$ and this can be further simplified to:
\n" ); document.write( " $\"highlight%28x+=+%282%2Bsqrt%2819%29%29%2F3%29\"$ or $\"highlight_green%28x+=+%282-sqrt%2819%29%29%2F3%29\"$
\n" ); document.write( "These are the solutions in simplest radical form.
\n" ); document.write( "When the intructions are to \"leave the roots in simplest radical form\"
\n" ); document.write( " it simply means that you do not try to evaluate the square root but do simplify the fraction as much as you can.
\n" ); document.write( "I hope this helps you solve the second problem, but if you are still having difficulties, please re-post. \n" ); document.write( "

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