Question

find the roots of x-1/x=3 using quadratic formula​

Answer 1

Answer:

$x - \frac{1}{x} = 3 \\ \frac{ {x}^{2} - 1 }{x} = 3 \\ {x}^{2} - 1 = 3x \\ {x}^{2} - 3x - 1 = 0 \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} \\ x = \frac{ - ( - 3)± \sqrt{ {( - 3)}^{2} - 4 \times 1 \times ( - 1)} }{2 \times 1} \\ x = \frac{3± \sqrt{9 - ( - 4)} }{2} \\ x = \frac{3± \sqrt{9 + 4} }{2} \\ x = \frac{3± \sqrt{13} }{2} \\ \boxed{ \large x = \underline{ \underline{ \frac{3 + \sqrt{13} }{2} }} \: \: \: or \: \: \: x = \underline{ \underline{ \frac{3 - \sqrt{13} }{2} }}}$