<p>The roots of the quadratic equation $5{{x}^{2}}+x+2=0$ are $\alpha $ and $\beta $. Find the quadratic equations whose roots are </p>
<ol class="i-list"><li><div class="list-item-paragraph">$3\alpha $ and $3\beta $</div></li><li><div class="list-item-paragraph">$\frac{1}{\alpha }$ and $\frac{1}{\beta }$</div></li><li><div class="list-item-paragraph">$\frac{1-\alpha }{\alpha }$ and $\frac{1-\beta }{\beta }$</div></li></ol>

The roots of the quadratic equation $5{{x}^{2}}+x+2=0$ are $\alpha $ and $\beta $. Find the quadratic equations whose roots are 

$\frac{1}{\alpha }$ and $\frac{1}{\beta }$

$\frac{1-\alpha }{\alpha }$ and $\frac{1-\beta }{\beta }$

Quadratic Equations and Inequalities - Sum and Product of Roots

Question 50abf311