Question

If alpha and beta are zeros of x square - 6 X + 1 then the value of one upon alpha plus one upon beta minus alpha beta is

Answer 1

-1

Step-by-step explanation:

zeroes of polynomial are 3,2

Alpha=3 , beta=2

Alpha+beta = 3+2 =5

Alpha.beta=3×2= 6

• 5-6= -1

Answer 2

$\frac{1}{\alpha}+\frac{1}{\beta}-\alpha\beta=5$

Step-by-step explanation:

Given polynomial:

$x^2-6x+1$

Compare it with

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

Therefore, we get

$\alpha+\beta=6$

$\alpha\beta=1$

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

Substitute the values

$\frac{6}{1}-1=6-1=5$

Hence, the  value of

$\frac{1}{\alpha}+\frac{1}{\beta}-\alpha\beta=5$

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