Question

Решите уравнение x^2/x+3=x/x+3

Answer 1

$\frac{ {x}^{2} }{x + 3} = \frac{x}{x} + 3 \\ \frac{ {x}^{2} }{x + 3} = \frac{x}{x} + 3 \\ \frac{ {x}^{2} }{ x + 3 } = 1 + 3 \\ \frac{ {x}^{2} }{x + 3} = 4 \\ {x}^{2} = 4(x + 3) \\ {x}^{2} - 4(x + 3) = 0 \\ {x}^{2} - 4x - 12 = 0 \\ {x}^{2} + 2x - 6x - 12 = 0 \\ (x + 2)(x - 6) = 0 \\ x + 2 = 0 \\ x - 6 = 0 \\ x = - 2 \\ x = 6$