Question

if alpha and beta are the roots of the equation 2xsqure-3x+5=0then find the value of alpha square beta +beta Square alpha ​

Answer 1

$\frac{15}{4}$

Step-by-step explanation:

$\alpha + \beta = \frac{ - b}{a} = \frac{ - ( - 3)}{2} = \frac{3}{2}$

$\alpha \beta = \frac{c}{a} = \frac{5}{2}$

${ \alpha }^{2} \beta + \alpha { \beta }^{2} = \alpha \beta ( \alpha + \beta )$

$= \frac{5}{2} \times \frac{3}{2} = \frac{15}{4}$

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