Answer:
The discriminant is -23
The equation has 0 real solution
Step-by-step explanation:
The discriminant of the quadratic equation ax² + b x + c = 0 is Δ = b² - 4ac
- If Δ > 0, then the equation has two different real solutions
- If Δ = 0, then the equation has one real solution
- If Δ < 0, then the equation has no real solutions
Let us use the rule above to solve the question
∵ x² - x + 6 = 0
∴ a = 1, b = -1 and c = 6
∵ Δ = b² - 4ac
∴ Δ = (-1)² - 4(1)(6)
∴ Δ = 1 - 24
∴ Δ = -23
∴ The discriminant is -23
∵ -23 < 0
∴ Δ < 0
∴ The equation has no real solutions
∴ The equation has 0 real solution
