Question

if alpha and beta are the zeros of the polynomial 2 X square + 6 x minus 3 then find the values of the expression a square + b square

Answer 1

↑ Here is your answer ↓
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Polynomial,

$2x^2 + 6x - 3 = 0$

We know,

$\alpha + \beta = -b/a$

Let alpha be 'a' and beta be 'B',

$\alpha + \beta = -6/2$

$\alpha + \beta = -3$

And,

$\alpha \beta = c/a$

$\alpha \beta = -3/2$

Now,

$\alpha^2 + \beta^2$

$= (\alpha + \beta)^2 - 2 \alpha \beta$

$= (-3)^2 - 2*(-3/2)$

$= 9 + 3$

$= 12$

Answer 2

The answer is given in the attachment.