Question

find the roots of x+4/x-4 + x-4/x+4 = 10/3​

Answer 1

Step-by-step explanation:

(x+4)/(x-4).+ (x-4)/(x+4)=(10/3)

{(x+4)^2 + (x-4)^2}/{(x-4)(x+4)}=(10/3)

(2x^2+32)/(x^2-16)=(10/3)

3(2x^2+32)=10(x^2-16)

(6x^2+96)=(10x^2-160)

10x^2-6x^2=96+160

4x^2=256

x^2=(256/4)

x^2=(64)

x=+8 or x=-8