Intermediate Algebra: solve r = t + 7/t for t

Re: Intermediate Algebra Formula's

mikey13 said:
That says t + 7/t.
I'm suspicious that you may have meant (t+7)/t.

In both cases:

r = t + 7/t will result in a quadratic equation and it may result in an unsatisfactory solution.

r = (t+7)/t

Multiply by t

r*t = t+7

Subtract 't'

r*t - t = 7

Use the distributive property to isolate the 't'

t*(r-1) = 7

Divide by (r-1)

t = 7/(r-1)

How's my guessing going?
 
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