Question

The roots of the equation $x^2+2\sqrt{3}x+3=0$ are

• A. real and unequal
• B. rational and equal
• C. irrational and equal
• D. irrational and unequal

Answer 1

The correct option is B rational and equal

Calculating Discriminant of this quadratic,

$D=(2\sqrt{3}{)}^2-4.(3).(1)$

$⟹D=12-12=0$

Hence roots are real and equal.