Question

if alpha and beta are the zeros of polynomial 2 x square - 7 x + 3 find the value of Alpha square plus beta​

Answer 1

ANSWER:-

Given:

If alpha & beta are the zeros of the polynomial 2x² -7x +3.

To find:

Find the value of (alpha)² + (beta)².

Solution:

2x² -7x +3

Sum of the zeroes:

$\alpha + \beta = - \frac{b}{a} \\ \\ = > \alpha + \beta = \frac{7}{2}$

Product of the zeroes:

$\alpha \beta = \frac{c}{a} \\ \\ = > \alpha \beta = \frac{3}{2}$

${ \alpha }^{2} + { \beta }^{2} = ( { \alpha + \beta )}^{2} - 2 \alpha \beta \\ \\ = > ( \frac{7}{2} ) {}^{2} - 2( \frac{3}{2} ) \\ \\ = > \frac{49}{4} - \frac{6}{2} \\ \\ = > \frac{49 - 12}{4} \\ \\ = > \frac{37}{4}$

Hence,

The value is 37/4.

Hope it helps ☺️

Answer 2

Step-by-step explanation:

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