Question

Помогите пожалуйста. Срочно! ​

Answer 1

$\frac{a}{b} - \frac{b}{a} = 6 \\ ( \frac{a}{b} - \frac{b}{a} )^{2} = 6^{2} \\ \frac{a^{2} }{b^{2}} - 2 \times \frac{a}{b} \times \frac{b}{a} + \frac{b^{2}}{a^{2}} = 36 \\ \frac{a^{2} }{b^{2}} - 2 + \frac{b^{2}}{a^{2}} = 36 \\ \frac{a^{2} }{b^{2}} + \frac{b^{2}}{a^{2}} = 38 \\ \sqrt{38 + 11} = \sqrt{49} = 7$

Ответ: 7