Question

Вырашыце раўнанне: (5x - 3) (x - 1) = 2 (x - 1) 2.

Answer 1

Решение 5x²-5x-3x+3=(2x-2)2, 5x²-8x+3=4x-4, 5x²-8x+3-4x+4=0, 5x²-12x+7=0, D=b²-4ac=144-140=4. x1= (-b-√D)/2a= (12-√4)/10=(12-2)/10=10/10=1, x2= (-b+√D)/2a=(12+2)/10=14/10=1,4. Ответ: x1=1, x2=1,4.