(5x – 3)(x – 1) = 2(x – 1)2 помогите плииииз

Question

(5x – 3)(x – 1) = 2(x – 1)2
помогите плииииз

Answer 1

( 5х - 3 )( Х - 1 ) = 2( Х - 1 )^2
5х^2 - 5х - 3х + 3 = 2( х^2 - 2х + 1 )
5х^2 - 8х + 3 = 2х^2 - 4х + 2
5х^2 - 2х^2 - 8х + 4х + 3 - 2 = 0
3х^2 - 4х + 1 = 0
D = 16 - 12 = 4 = 2^2
X1 = ( 4 + 2 ) : 6 = 1
X2 = ( 4 - 2 ) : 6 = 2/6 = 1/3
Ответ 1/3 ; 1

Comments

пасибо