Question

If one root of the equation x² + ax + 3 = 0 is 1, then its other root is
A. 3
B. – 3
C. 2
D. – 2

Answer 1

If one root of the equation x² + ax + 3 = 0 is 1, then its other root is D. – 2

Answer 2

A. 3

Step-by-step explanation:

Root of the equation x² + ax + 3 = 0 is 1

Let u and v be the roots of the equation such that u =1.

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

Sum of roots = u + v = -b/a

1 + v = -a/1

v = -a -1

Product of roots = uv = c/a

1*v = 3/1

v = 3

So the value of other root = 3.

Option A is the answer.