Question

If ALPHA and BETA are zeroes of the polynomial p(x)=x2-x-4, find value OF 1/ALPHA+1/BETA

Answer 1

Answer:

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Answer 2

$\huge\bold\green{Solution}$

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$f(x) = {x}^{2} - x - 4$

$\alpha + \beta = 1$

$\alpha \beta = - 4$

$= \frac{1}{ \alpha} + \frac{1}{ \beta } - \alpha \beta$

$\frac{\alpha + \beta}{ \alpha \beta } - \alpha \beta$

$= \frac{1}{ - 4} - (- 4)$

$= \frac{ - 1}{4} + 4$

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$= \frac{15}{4}$

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