Algebraeasy · Past Paper
Nature of roots of x^2 + 2x + 3 = 0:
AImaginary
BReal and equal
CReal and distinct
DIrrational
✓ Correct Answer: A — Imaginary
D = 2^2 - 4(1)(3) = 4 - 12 = -8. D < 0, so roots are imaginary.
Share this question
More from Algebra
- Factorize (a+b)^2 - 5(a+b) + 6.
- Factorize a^4 - 5a^2 + 4.
- If x^2 + 1/x^2 = 7, find the value of x + 1/x (where x > 0).
- A taxi charge consists of a fixed fee plus a charge per km. If for 10 km the charge is Rs 150 and for 15 km it is Rs 200, find the fixed fee.
- The discriminant of √2x^2 + 7x + 5√2 = 0 is: