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.

Mitiku D.

tutor
We would be able to help you if you could use braces and let us know what the equation is like (9/t2)-(1/(t-3))
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01/18/15

1 Expert Answer

By:

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 ± √(b2 -4ac)) / 2a
x = (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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