<p>The roots of the quadratic equation $2{{x}^{2}}-hx+h=0$ (where $h>0$) are $\alpha $ and $\beta $, while those of the equation $25{{x}^{2}}-5x+4=0$ are $\frac{1}{{{\alpha }^{2}}}$ and $\frac{1}{{{\beta }^{2}}}$. Find the value of $h$.</p>

The roots of the quadratic equation $2{{x}^{2}}-hx+h=0$ (where $h>0$) are $\alpha $ and $\beta $, while those of the equation $25{{x}^{2}}-5x+4=0$ are $\frac{1}{{{\alpha }^{2}}}$ and $\frac{1}{{{\beta }^{2}}}$. Find the value of $h$.

Sum and Product of Roots

Quadratic Equations and Inequalities - Sum and Product of Roots

Question 5b93d5c4