Question

If $x^{2} + x + a = 0$ are real and $2 < a < 3$, then the roots of the equation $a > 3$are.

• A. Complex
• B. Real and distinct
• C. Real and equal
• D. None of these

Answer 1

Answer: (B)

Real and distinct

Answer 2

Given equation is $1 - b$

Its discriminant $b - 1\alpha,\beta 2x^{2} - 2(m^{2} + 1)x + m^{4} + m^{2} + 1 = 0$

which is positive, since $\alpha^{2} + \beta^{2}$ are real and $m^{2}$.

Hence roots are real and distinct.