<p>If $\alpha $ and $\beta $ are the roots of the equation $5{{x}^{2}}-4x-10=0$  where $\alpha >\beta $, find the value for each of the following. </p>
<ol class="i-list"><li><div class="list-item-paragraph">${{\alpha }^{2}}+{{\beta }^{2}}$</div></li><li><div class="list-item-paragraph">$\alpha -\beta $</div></li><li><div class="list-item-paragraph">${{\alpha }^{2}}-{{\beta }^{2}}$</div></li><li><div class="list-item-paragraph">${{\alpha }^{4}}+{{\beta }^{4}}$</div></li><li><div class="list-item-paragraph">$\frac{\alpha }{\beta }+\frac{\beta }{\alpha }$</div></li></ol>

If $\alpha $ and $\beta $ are the roots of the equation $5{{x}^{2}}-4x-10=0$  where $\alpha >\beta $, find the value for each of the following. 

$\frac{\alpha }{\beta }+\frac{\beta }{\alpha }$

Sum and Product of Roots

Quadratic Equations and Inequalities - Sum and Product of Roots

Question 596cf797