Question

if x/b+b/x=a/b+b/a find the roots of the equation​

Answer 1

✪||Solution||✪

$\sqrt{\frac{x}{b} + \frac{b}{x}}= \sqrt{\frac{a}{b} + \frac{b}{a}}$

$&#8658\sqrt{\frac{{x}^{2} + {b}^{2}}{bx}}= \sqrt{\frac{{a}^{2} + {b}^{2}}{ab}}$

$&#8658\sqrt{\frac{x × x + b × b}{bx}}= \sqrt{\frac{ a × a + b × b}{a × b}}$

$&#8658\frac{x + b}{\sqrt{bx}}= \frac{a + b}{\sqrt{ab}}$