Alexis E.

asked • 01/18/15# what is the common factor in 9/t^2-1/t-3?

the common factor or the least common denominator.

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## 1 Expert Answer

Jon P. answered • 01/18/15

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The least common denominator is t

^{2}Alexis E.

And how would you solve this equation?

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01/18/15

Jon P.

tutor

I assume you mean the equation 9/t^2-1/t-3 = 0, since the way you stated the original problem there was no equation, just the expression.

So start with 9/t^2-1/t-3 = 0.

Multiply both sides by t^2. That will give you:

9 - t - 3t^2 = 0

-3t^2 -t + 9 = 0

Multiply both sides by -1, to make the numbers a little easier:

3t^2 + t - 9 = 0

This doesn't factor, so you'd have to use the formula for solving a quadratic equation:

x = (-b ± √(b

^{2 }-4ac)) / 2ax = (1 ± √(1 - 4(3)(-9)) / 6

x = (1 ± √(1 + 108) / 6

x = (1 ± √109) / 6

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01/18/15

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Mitiku D.

^{2})-(1/(t-3))01/18/15