Solve: X+4/x-4 +x-4/X+4. =10/3​

ответ: ☑️

х+4/х-4 + х-4/х+4 = ¹⁰/3

(х+4)(х+4) + (х-4)(х-4)/(х-4)(х+4) = ¹⁰/3

х²+2•4х+4²+х²-2•4х+4²/(х-4)(х+4) = ¹⁰/3

2х²+2•4²/(х-4)(х+4) = ¹⁰/3

3(2х²+32) = 10(х²-4²)

6х²+96 = 10х²-160

6х²-10х² = -160-96

-4х² = -256

х² = -256 : (-4)

х² = 64

х = ±8

ответ: х = ±8