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Nature of Roots

If x=1 is a c...

Question

If x = 1 is a common root of ax² + ax + 2 = 0 and x² + x + b = 0, then, ab =

(a) 1
(b) 2
(c) 4
(d) 3

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Solution

is the common roots given quadric equation are , and

Then find the value of ab.

Here, ….. (1)

….. (2)

Putting the value of in equation (2) we get

Now, putting the value of in equation (1) we get

Then,

Thus, the correct answer is

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