Question

решите уравнение:
2x^2+x/5 = 4x-2/3

Answer 1

$frac{2 x^{2} +x}{5}= frac{4x-2}{3} \\ frac{2 x^{2} +x}{5}*15- frac{4x-2}{3}*15=0\\6 x^{2} +3x-20x+10=0$
$6 x^{2} -17x+10=0\\D=(-17) ^{2} -4*6*10=289-240=49= 7^{2} \\ x_{1} = frac{17+7}{12}=2\\ x_{2}= frac{17-7}{12} = frac{5}{6}$