Question

Решите уравнение: x²+x/2=8x-7/3

Answer 1

$x^{2} +x/2 -8x -7/3=0\\ </p><p>6x^{2} +3x-48x-14=0\\ </p><p>6x^{2}-45x-14=0 \\ </p><p>x_{1} = \frac{45+\sqrt{2361} }{12}; x_{2} = \frac{45-\sqrt{2361} }{12}$

Answer 2

$\frac{x(x+1)}{2} =\frac{8x-7}{3}$

$\frac{3x^2+3x}{6} =\frac{16x-14}{6}$

$3x^2+3x=16x-14$

$3x^2-13x=-14$

$3x^2-13x+14=0$

$(3x-7)(x-2)=0$

$x=\frac{7}{3}$

$x=2$

$x=\frac{7}{3} ;2$