If $\alpha $ and $\beta $ are the roots of the equation $3{{x}^{2}}+7x-18=0$ where \(\alpha &g

Question

If $\alpha $ and $\beta $ are the roots of the equation $3{{x}^{2}}+7x-18=0$ where $\alpha >\beta $, find the value for each of the following. $\frac{1}{\alpha }+\frac{1}{\beta }$ ${{\alpha }^{2}}+{{\beta }^{2}}$ $\alpha -\beta $ ${{\alpha }^{3}}-{{\beta }^{3}}$ ${{\alpha }^{4}}+{{\beta }^{4}}$

Accepted Answer

(i) $\frac7{18}$ (ii) $\frac{157}{9}$ (iii) $\frac{\sqrt{265}}3$ (iv) $\frac{103\sqrt{265}}{27}$ (v) $\frac{18817}{81}$

IP3U1 1.1 WE3

IP3U1 1.1 WE3

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