Решите уравнение

(3t-5) / (t^2-1) - (6t-5) / (t-t^2) = 0

Question

Алгебра

Валерьяша

11 сентября, 19:58

Решите уравнение

(3t-5) / (t^2-1) - (6t-5) / (t-t^2) = 0

+2

Ответы (1)

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Илюня · Answer 1

(3t-5) / (t-1) (t+1) + (6t-5) / t (t-1) = (3t²-5t+6t²+6t-5t-5) / t (t²-1) = (9t²+4t-5) / t (t²-1) =

= ((t+1) (9t-5) / t (t-1) (t+1) (9t-5) / (t²-t) = 0

t=5/9

9t²+4t-5=9 (t+1) (t-5/9) = (t+1) (9t-5)

D=16+180=196

t1 = (-4-14) / 18=-1

t2 = (-4+14) / 18=5/9

Решите уравнение(3t-5) / (t^2-1) - (6t-5) / (t-t^2) = 0

Решите уравнение

(3t-5) / (t^2-1) - (6t-5) / (t-t^2) = 0