Question

Решите уравнение
1) 5х(8-х)=х(х-8)
2) х^2(х-9)=2(9-х)

Answer 1

1) 40x-5x^2=x^2-8x

40x-5x^2-x^2+8x=0

48x-6x^2=0

6x*(8-x)=0

x*(8-x)=0

x=0

x=8

2) x^2*(x-9)-2(9-x)=0

x^2*(x-9)-2*(-(x-9))=0

x^2*(x-9)+2(x-9)=0

(x-9)*(x^2+2)=0

x-9=0

x^2+2=0

x=9