Question

If α and β are the zeros of x²-4x+1, then
$\frac{1}{ \alpha } + \frac{1}{ \beta } - \alpha \beta$
is :?
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Answer with proper explanation
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Answer 1

Question

1 / a + 1 / b = 3

Solution-

The given quadratic equation,

x² - 4x+1

Comparing to the general quadratic equation,

ax²+bx+c

Where,

a= 1, b= -4, c= 1

Given that α and β are zeroes of the polynomial.

From the properties of the zeros,

a + b = 4

a × b = 1

Then,

4 - 1 = 3

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Answer 2

Answer:

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