Решите уравнение//////////

$\frac{1}{x} = \frac{1}{2(x-17)} + \frac{1}{2*102} \\ \frac{1}{x} -\frac{1}{2(x-17)} = \frac{1}{2*102} \\ \frac{2(x-17)-x}{2x(x-17)} = \frac{1}{204} \\ \frac{2x-34-x}{2x^{2}-34x} = \frac{1}{204} \\ \frac{x-34}{2x^{2}-34x} = \frac{1}{204}$
204x-6936=2x²-34x
2x²-238x+6936=0
x²-119x+3468=0
D=14161-13872=289
x₁=(119-17)/2=102/2=51
x₂=(119+17)/2=136/2=68
ответ: 51 и 68