Question

if alpa and beta are zeroes of the polynomial p(x)= 3x² -2x-6 then find alpha²+beta²
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Answer 1

$\alpha + \beta = \frac{ - b}{a}$

$\alpha + \beta = \frac{2}{3}$

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${ \alpha }^{2} + { \beta }^{2}$

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

$value \: of \: \alpha + \beta = \frac{2}{3}$

$( { \frac{2}{3} })^{2}$

$\frac{4}{9}$

$\alpha ^{2} + { \beta }^{2} = \frac{4}{9}$