Question

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

Answer 1

3x^2-10x+3x^2-3x=6x^2-13x=x(6x-13)

Answer 2

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