Question

решите уравнение 6/х+5=4/3+х

Answer 1

$frac{6}{x} + 5 = frac{4}{3 } + x$
$frac{6+5x}{x} = frac{4+3x}{3}$
$frac{6+5x}{x} - frac{4+3x}{3 } = 0$
$frac{18+15x-4x- 3x^{2} }{3x} = 0$
$x neq 0$
$18+15x -4x -3 x^{2} = -3 x^{2} +11x +18 = 0$
$3 x^{2} - 11x - 18 = 0$
D= b*b - 4ac
D= 121 + 216 = 337
$x= frac{-b+- sqrt{D} }{2a}$
$x= frac{11-+ sqrt{337} }{6}$