Question

solve the equation by factorisation
x+1/x-10/3=0

Answer 1

$x + \frac{1}{x} - \frac{10}{3} = 0 \\ x + \frac{3 - 10x}{3x} = 0 \\ \frac{3 {x}^{2} - 10x + 3 }{3x} = 0 \\ 3 {x}^{2} - 10x + 3 = 0 \\ 3 {x}^{2} - 9x - x + 3 = 0 \\ 3x(x - 3) - 1(x - 3) = 0\\ (3x - 1)(x - 3) = 0 \\ 3x - 1 = 0 \: \: \: \: or \: \: x - 3 = 0 \\ 3x = 1 \: \: \: \: or \: \: \: \: x = 3 \\ x= \frac{1}{3}$