Решите пожалуйста: 8sin^4x+10sin^x-3=0

Решение 8sin⁴x + 10sin²x - 3 = 0 sin²x = t, t ≥ 0 8t² + 10t - 3 = 0 D = 100 + 4*8*3 = 196 t₁ = (- 10 - 14)/16 t₁ = - 24/16 t₁ = - 1,5, не удовлетворяет условию  t ≥ 0 t₂ = (- 10 + 14)/16 t₂ = 4/16 t₂ = 1/4 sin²x = 1/4 sinx = - 1/2 sinx = 1/2 1) sinx = - 1/2 x = (-1)^n*arcsin(-1/2) + πn, n∈Z x = (-1)^(n+1)*arcsin(1/2) + πn, n∈Z x = (-1)^(n+1)*arcsin(1/2) + πn, n∈Z x = (-1)^(n+1)*(π/6) + πn, n∈Z 2)  sinx = 1/2 x = (-1)^k*arcsin(1/2) + πk, n∈Z x = (-1)^k*(π/6) + πk, k∈Z