Question

Solve for x:
\left( \frac{x+63}{x-127} \right) ^2 - 175 \left( \frac{x+63}{x-127} \right)
+ 5934 = 0


The smaller solution is _____.

The larger solution is ____.

Please explain how to solve!

Answer 1

\[\left( \frac{x+63}{x-127} \right) ^2 - 175 \left( \frac{x+63}{x-127} \right) + 5934 = 0 \]

Answer 2

\[\left( \frac{ x+63 }{ x-127 }\right)^{2}-175(\frac{ x+63 }{ x-127})+5934=0\]

Answer 3

Beat me to it

Answer 4

lol

Answer 5

Umm, for this question you're going to have to simplify each bracket

Answer 6

Make the substitution y = (x + 63) / (x - 27).

It will be a simple quadratic equation in y.

Solve for y. And then put y = (x + 63) / (x - 27) back and solve for x.

Answer 7

let me know if you still need this solved

Answer 8

Yes. I can't seem to get it right.

Answer 9

Find the reference angle for csc(theta) = -2.7885