Question

Помогите решить (x^(1/3)-1)/((1+x)^(1/2)-(2x)^(1/2))

Answer 1

Ответ:

1/( x - 1 )^2 + 2/( x - 1 ) - 3 = 0

( 1 + 2( x - 1 ) - 3( x - 1 )^2 ) / ( x - 1 )^2 = 0

X не равен 1

1 + 2х - 2 - 3х^2 + 6х - 3 = 0

- 3х^2 + 8х - 4 = 0

3х^2 - 8х + 4 = 0

D = 64 - 48 = 16 = 4^2

X1 = ( 8 + 4 ) : 6 = 2

X2 = ( 8 - 4 ) : 6 = 2/3

Ответ 2 ; 2/3