Решите уравнение е х^6=(9х-20)^3

Question

Решите уравнение е х^6=(9х-20)^3

Answer 1

X^6-(9*х-20)^3=(x^2-9*x+20)*(x^4+x^2*(9*x-20)+(9*x-20)^2)=0 1) x^2-9*x+20=(x-4)*(x-5)=0; x1=4; x2=5;2) x^4+x^2*(9*x-20)+(9*x-20)^2=x^4+9*x^3-20*x^2+81*x^2-360*x+400= =x^4+9*x^3+61*x^2-360*x+400=0