Question

скоротіть дріб 6х2-5х+1/4х+2​

Answer 1

$6x^{2} -5x+1=0\\\\D=(-5)^{2}-4*6*1=25-24=1\\\\x_{1}=\frac{5-1}{12}=\frac{4}{12}=\frac{1}{3}\\\\x_{2}=\frac{5+1}{12}=\frac{6}{12}=\frac{1}{2}\\\\6x^{2} -5x+1=6(x-\frac{1}{3})(x-\frac{1}{2})= (3x-1)(2x-1)\\\\\\\frac{6x^{2}-5x+1 }{4x-2}=\frac{(3x-1)(2x-1)}{2(2x-1)}=\frac{3x-1}{2}$