Maths · Quadratic equations in real and complex number systems and their solutions
Determine the nature of roots of the equation
Determine the nature of roots of the equation \( x^{2}+2 x \sqrt{3}+3=0 \)
- A. Real and distinct
- B. Non-real and distinct
- C. Real and equal
- D. Non-real and equal
Step-by-step solution
The discriminant D = b^2 - 4ac = (2√3)^2 - 4·1·3 = 12 - 12 = 0, so roots are real and equal.
Related MCQs
- A family is going to a theme park having members in the family. Each ticket costs and the number of tickets needs to be bought can be calcul…
- Determine whether the equation is quadratic or not.…
- The produce of a square field when sold at the rate of Rs. 1.50 per 100 sq. metres fetches Rs. What will be the cost of putting a fence all …
- If then the value of is…
- What are the solution(s) to the system of equations and…