Реши уравнение 4⋅t4−144⋅t2=0.

Question

Реши уравнение 4⋅t4−144⋅t2=0.

Answer 1

 4⋅t4−144⋅t2=0,16t-288t=0, -272t=0,t=0

Answer 2

4t⁴ - 144t² = 0
t⁴ - 36t² = 0
t²(t² - 36) = 0
t² (t - 6)(t + 6) = 0
или  t₁ = 0     или  t - 6 = 0     или  t + 6 = 0
                              t₂ = 6                 t₃ = - 6