Question

Сократите дробь
1) 3х в квадрате-10х+3/х в квадрате-3х

Answer 1

$frac{3 x^{2} -10x+3}{ x^{2} -3x} = frac{(x-3)(x- frac{1}{3} )}{x(x-3)}=x- frac{1}{3} \ \ 3 x^{2} -10x+3=0 \ D=100-36=64 \ sqrt{D} =8 \ x_{1} = frac{10+8}{6} = frac{18}{6} =3 \ x_{2} = frac{10-8}{6} = frac{2}{6} = frac{1}{3} \ 3 x^{2} -10x+3=(x-3)(x- frac{1}{3} )$