Which quadratic equation has no real solutions?
Check the final answer first, then review the worked steps.
Problem
Which quadratic equation has no real solutions?
Step-by-step solution
We check the discriminant (b^2 - 4ac) for each equation. Equation D, x^2 + x - 2 = 0, has a discriminant of 1^2 - 4(1)(-2) = 9. Equation A has discriminant 2^2 - 4(1)(1) = 0. Equation B, x^2 - x + 1 = 0, has discriminant (-1)^2 - 4(1)(1) = -3. Equation C has discriminant (-1)^2 - 4(1)(0) = 1. Therefore, equation B has no real solutions.
Answer
D