<p>The roots of the quadratic equation $2{{x}^{2}}-3x+8=0$ are $\alpha $ and $\beta $. Find the quadratic equations whose roots are </p>
<ol class="i-list"><li><div class="list-item-paragraph">$5\alpha $ and $5\beta $	</div></li><li><div class="list-item-paragraph">$\alpha +2\beta $ and $\beta +2\alpha $</div></li><li><div class="list-item-paragraph">$\frac{\beta }{\alpha }$ and $\frac{\alpha }{\beta }$</div></li></ol>

The roots of the quadratic equation $2{{x}^{2}}-3x+8=0$ are $\alpha $ and $\beta $. Find the quadratic equations whose roots are 

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

Forming a Quadratic Equation with Given Roots

Forming a Quadratic Equation with Given Roots