Question

15/x+4 = x-4/x [Solve this equation.]

Answer 1

Could you please show me step by step?

Answer 2

start by cross multiplying this will remove the fractions....

\[\frac{15}{x + 4} = \frac{x - 4}{x} = 15 \times x = (x + 4) \times (x - 4)\]

now you should be able to simplify the problem.

Answer 3

Is it 15x=x^2-4x+4x-16?

Answer 4

I don't understand.

Answer 5

ok... so you're correct with the expansion.

so

15x = x^2 - 16

now put all the terms on one side

x^2 - 15x - 16 = 0

now you have a quadratic that can be solved by factorising...

Answer 6

oh okay. I get it now ^^. thank you..

Answer 7

I thought I might have been doing it wrong.

Answer 8

nope... it all makes sense... so you'll have 2 solutions.