The roots of the quadratic equation $2{{x}^{2}}-x=10$ are $\alpha $ and $\beta $. Find the qua

Question

The roots of the quadratic equation $2{{x}^{2}}-x=10$ are $\alpha $ and $\beta $. Find the quadratic equations whose roots are ${{\alpha }^{2}}$ and ${{\beta }^{2}}$ ${{\alpha }^{3}}$ and ${{\beta }^{3}}$ ${{\alpha }^{2}}-\frac{1}{\beta }\mathrm{ }$ and ${{\beta }^{2}}-\frac{1}{\alpha }$

Accepted Answer

(i) $4x^2-41x+100=0$. (ii) $8x^2-61x-1000=0$. (iii) $20x^2-207x+486=0$.

Quadratic Functions, Equations and Inequalities - Sum and Product of Roots

Quadratic Functions, Equations and Inequalities - Sum and Product of Roots

Solution:

Solution locked