Question

(X+2/x-2)+(x-2/x+2)=13
Хелпб

Answer 1

$frac{x+2}{x-2}+frac{x-2}{x+2} =13$   |* (x-2)(x+2)

ОДЗ: х≠±2

$(x+2)^2+(x-2)^2 =13(x^2-4)$

$x^2+4x+4+x^2-4x+4=13x^2-52$

$2x^2+8=13x^2-52$

$52+8=13x^2-2x^2$

$11x^2=60$

$x^2=60:11$

$x_1=sqrt{frac{60}{11} } =frac{2sqrt{15} }{sqrt{11} } \ x_2=-sqrt{frac{60}{11} } =-frac{2sqrt{15} }{sqrt{11} }$