If x^(2) + alpha(1)x + beta(1) = 0 and x...

If `x^(2) + alpha_(1)x + beta_(1) = 0` and `x^(2) + alpha_(2)x + beta_(2) = 0` have a common root `(x-k)`, then find k.

`k = (alpha_(2)- alpha_(1))/(beta_(2) - beta_(1))`

`k = (alpha_(2)- alpha_(1))/(beta_(2)- beta_(1))`

`k = {:(alpha_(2)-alpha_(1)),(beta_(2)-beta_(1)):}`

Text Solution

Verified by Experts

The correct Answer is:

(i) Use of the concept of common root of given equations.
(ii) Put `x = k` in the given equation and solve for k.

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