Question

if alpha and beta are the zeros of the quadratic polynomial X square + bx + c then find one by Alpha square + 1 by beta square .​

Answer 1

Answer:

-b/c

$Given \: \alpha \: and \: \beta \: \:are \: roots \: of \\ x² + bx + c = 0 </p><p>We know , \\ \alpha \: + \: \beta \: = -b/a = -b/1 = -b</p><p></p><p> \alpha \: \times \: \beta = c/a = c/1 = c</p><p></p><p>Now \: to \: find \\ \: 1/ \alpha + 1/ \beta \\ = > \frac{1}{ \alpha } + \frac{1}{ \beta } </p><p>= > \frac{ \alpha \: + \: \beta }{ \alpha \: \times \beta } </p><p>= > \frac{ - b}{c}$

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