Q28 of 180 Page 1

If α and β are the zeroes of the polynomial f(x) = x2 + x – 2, find the value of .

We know that, if α and β are two zeroes of a quadratic polynomial ax2 + bx + c then



and


here, α and β are the zeroes of the given polynomial f(x)


⇒ and


⇒


⇒


⇒


⇒


⇒


To find,



Substituting the value of β - α, we get



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