Question

4(x-5/x)=5/x....find value of x​

Answer 1

$4(\frac{x - 5}{x} ) = \frac{5}{x} \\ \frac{4x - 20}{x} = \frac{5}{x} \\ 4 {x}^{2} - 20x = 5x \\ 4 {x}^{2} - 25x - 5x = 0 \\ 4 {x}^{2} - 25x = 0 \\ x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac} }{2a} \\ = \frac{ - ( - 25) + - \sqrt{ { - 25}^{2} - 4 \times 4 \times 0 } }{2 \times 4} \\ soution \\ x = \frac{25}{4} \\ x = 0$