Answer:
The equation has two different real solutions
Step-by-step explanation:
The discriminant of the quadratic equation ax² + bx + c = 0 is Δ = b² - 4ac, it used to find the number and type of solutions
- Δ > 0, means two different real solutions
- Δ = 0, means one real solution
- Δ < 0, means no real solutions
∵ The equation is a² + 8a = 13
- Put it in the form ax² + bx + c = 0
- Subtract 13 from both sides
∴ a² + 8a - 13 = 0
∴ The coefficient of a² = 1, the coefficient of a = 8 and the
numerical term = -13
∵ Δ = (coefficient of a)² - 4(coefficient of a²)(numerical term)
∴ Δ = (8)² - 4(1)(-13)
∴ Δ = 64 + 52
∴ Δ = 116
∵ Δ > 0
∴ The equation has two different real solutions
