Question

x minus 3 by x =2(x is not equal 2) jn quadratic equation​

Answer 1

Answer:

$x - \frac{3}{x} = 2 \\ \\ {x}^{2} - 3 = 2x \\ \\ {x}^{2} - 2x - 3 = 0 \\ \\ {x}^{2} - 3x + x - 3 \\ \\ x(x - 3) + 1(x - 3) \\ \\( x + 1)(x - 3) \\ \\ take \\ \: x + 1 = 0 \: \: andx - 3 = 0 \\ \\ x = - 1 \: \: \: x = 3 \\ \\ hence \: the \: value \: of \: x = - 1 \: and \: 3$

Answer 2

Step-by-step explanation:

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