SOLUTION: This actually has to do with radical equations, but can you please explain how you'd solve the equation 1 over t-2 = t over 8. I think you can read that better, but its 1/t-2 = t/

Question 309231: This actually has to do with radical equations, but can you please explain how you'd solve the equation 1 over t-2 = t over 8.
I think you can read that better, but its 1/t-2 = t/8, and I'm supposed to solve for t.
Thank for your very valuable time.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I think you meant to say rational equations. Radical equations look something like this . Also, you can use parenthesis to show that 't-2' is underneath 1 by typing 1/(t-2)

Start with the given equation.

Cross multiply

Distribute

Multiply

Subtract 8 from both sides.

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "t":

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the solutions are or
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