Question

If the zeroes of the polynomial p(x) = 2x² – 7x + 6 are α and β, then the value of `1/α + 1/β` is ______.

पर्याय

• `7/2`

• `6/7`

• `(-7)/6`

• `7/6`

Answer 1

If the zeroes of the polynomial p(x) = 2x² – 7x + 6 are α and β, then the value of `1/α + 1/β` is `underlinebb(7/6)`.

Explanation:

For a quadratic ax² + bx + c

Sum of zeroes = `α + β = - b/a`

Product of zeroes = `αβ = c/a`

Here,

a = 2

b = –7

c = 6

So, `α + β = - (-7)/2 = 7/2`

`αβ = 6/2 = 3`

We know: `1/α + 1/β = (α + β)/(αβ)`

= `(7/2)/3`

= `7/2 xx 1/3`

= `7/6`