Question

Can you help me? I don’t know the answer? X=? Or X=?

Answer 1

We have:

`(1)/(3x-4) + (1)/(5x+9) = 6`.

Multiplying both sides by 3x-4 gives:

`1+(3x-4)/(5x+9) = 18x-24`.

Multiplying both sides by 5x+9 gives:

`5x+9+3x-4 = 90x^2+42x-216`

Simplifying and moving all the terms to the right side of the equation gives us:

`8x+5 = 90x^2+42x-216`

`0=90x^2+34x-221`.

Plugging into the quadratic formula eventually gives us
`-(17)/(90)\pm(1)/(90)√(20179).`

So, the answer is
`-(17)/(90)\pm(1)/(90)√(20179).`