Question

the roots of x+4/x-4 + x-4/x+4 =10/3 are plz plz it is very urgent

Answer 1

HEYA MATE,

Your solution is in the attachment.

#KEVIN

HOPE IT HELPS YOU...

Answer 2

The roots are +8 and -8.

Step-by-step explanation:

The given problem can be solved as follows:

$\frac{x+4}{x-4} + \frac{x-4}{x+4} =\frac{10}{3}$

Taking LCM

$\frac{(x+4)^2+((x-4)^2}{(x-4)(x+4)} =\frac{10}{3}$

Using the algebraic identities and solving

$\frac{x^2 + 16 + 8x + x^2+16-8x}{x^2-16} =\frac{10}{3}$

$\frac{2x^2 + 32}{x^2-16} =\frac{10}{3}$

$\frac{x^2 + 16}{x^2-16} =\frac{5}{3}$

Cross multiplying

$3(x^2 + 16)=5(x^2-16)$

$3x^2 + 48=5x^2-80$

$3x^2 - 5x^2= - 80- 48$

$2x^2 = 128$

$x^2 = 64$

$x = +8 , -8$