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If one root of the equation $x 2$ + ax + 3 = 0 is 1, then its other root is

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- 3

– 2

answer is D.

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Detailed Solution

Given:
The equation is

x 2 + a x + 3 = 0

where α = 1.
Assume that α be the one root of the equation and β be the other root.
Compare the given equation with

a x 2 + b x + c = 0

.
Here a = 1, b = a, c = 3.

= c a

Product of zeroes

α β = c a

Substitute values of α, a and c.

⇒ 1 × β = 31 ⇒ β = 3

For the quadratic equation x² + ax + 3 = 0, the value of another root is 3.
Hence, the correct option is 4.

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