Question

if alpha and beta are the roots of polynomial x^2 - x + 7 the find the value of alpha square + beta square​

Answer 1

Answer:

pic mai solution dekh lo

Answer 2

$= > x {}^{2} - x + 7 \\ \\ = > so \: find \: the \: value \: of \: \\ \\ \alpha {}^{2} + \beta {}^{2} \: \: \: \: \: \: = > \\ \\ (x + y) {}^{2} =x { }^{2} + y {}^{2} + 2xy \\ \\ = > sum \: of \: zeroes \: = \frac{ - b}{a} \\ \\ = > \frac{ - (- 1)}{1} \\ \\ = > 1 \\ \\ = > product \: of \: zeroes = \frac{c}{a} \\ \\ = > \frac{7}{1} = 7 \\ \\ = > \alpha { }^{2} + \beta {}^{2} = (\alpha + \beta ) {}^{2} - 2 \alpha \beta \\ \\ = >(1) {}^{2} - 2(7) \\ \\ = > 1 - 14 \\ \\ = > - 13$

thanks pro✔️✔️