Question

Решите уравнение : 8y^3-36y^2+54y-27=0

Answer 1

8y³-36y²+54y-27=0
(8y³-27)-(36у²-54y)=0
(2у-3)(4у²+6у+9)-18у(2у-3)=0
(2у-3)(4у²+6у+9-18у)=0
(2у-3)(4у²-12у+9)=0
(2у-3)(2у-3)²=0
(2у-3)³=0
2у-3=0
2у=3
у=3:2
у=1,5