Question
How many real solutions does 0=x2-5x-4 have?
Answers
Answered by
GPT 3.5
To find the number of real solutions, we can use the discriminant of the quadratic equation. The discriminant is given by the formula:
Δ = b^2 - 4ac
In this case, the quadratic equation is in the form ax^2 + bx + c = 0, where a = 1, b = -5, and c = -4.
Therefore, the discriminant is:
Δ = (-5)^2 - 4(1)(-4)
Δ = 25 + 16
Δ = 41
Since the discriminant is positive, the quadratic equation has two distinct real solutions.
Δ = b^2 - 4ac
In this case, the quadratic equation is in the form ax^2 + bx + c = 0, where a = 1, b = -5, and c = -4.
Therefore, the discriminant is:
Δ = (-5)^2 - 4(1)(-4)
Δ = 25 + 16
Δ = 41
Since the discriminant is positive, the quadratic equation has two distinct real solutions.