сократите дробь 3х2-10х+3/х2-3х

Question

сократите дробь 3х2-10х+3/х2-3х

Answer 1

3x²-10x+3=3(x-1/3)(x-3)=(3x-1)(x-3)
D=100-36=64
x1=(10-8)/6=1/3
x2=(10+8)/6=3

(3x²-10x+3)/(x²-3x)=(3x-1)(x-3)/[x(x-3)]=(3x-1)/x