document.write( "Question 132015: Solve $\"t%5E2-5t-36=0\"$ \n" ); document.write( "

Algebra.Com's Answer #96396 by jim_thompson5910(35256) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " $\"t%5E2-5t-36=0\"$ Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( " $\"%28t-9%29%28t%2B4%29=0\"$ Factor the left side (note: if you need help with factoring, check out this solver)\r
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\n" ); document.write( "\n" ); document.write( "Now set each factor equal to zero:\r
\n" ); document.write( "\n" ); document.write( " $\"t-9=0\"$ or $\"t%2B4=0\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"t=9\"$ or $\"t=-4\"$ Now solve for t in each case\r
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\n" ); document.write( "\n" ); document.write( "So our answer is \r
\n" ); document.write( "\n" ); document.write( " $\"t=9\"$ or $\"t=-4\"$ \r
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\n" ); document.write( "\n" ); document.write( "Notice if we graph $\"y=x%5E2-5x-36\"$ (just replace t with x) we can see that the roots are $\"x=9\"$ and $\"x=-4\"$ . So this visually verifies our answer.\r
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\n" ); document.write( "\n" ); document.write( " $\"+graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C0%2C+x%5E2-5x-36%29+\"$
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