Question
What is the discriminant of the quadratic equation 4x^2 +2x−1=0?
Answers
GPT 3.5
The discriminant of a quadratic equation in the form ax^2 + bx + c = 0 is given by the formula Δ = b^2 - 4ac.
For the equation 4x^2 + 2x - 1 = 0, we have a = 4, b = 2, and c = -1.
Plugging these values into the formula, we get:
Δ = (2)^2 - 4(4)(-1)
Δ = 4 - 16
Δ = -12
Therefore, the discriminant of the quadratic equation 4x^2 + 2x - 1 = 0 is -12.
For the equation 4x^2 + 2x - 1 = 0, we have a = 4, b = 2, and c = -1.
Plugging these values into the formula, we get:
Δ = (2)^2 - 4(4)(-1)
Δ = 4 - 16
Δ = -12
Therefore, the discriminant of the quadratic equation 4x^2 + 2x - 1 = 0 is -12.
are you sure
GPT 3.5
I apologize for the error in my previous response. Let's correct it:
For the equation 4x^2 + 2x - 1 = 0, we have a = 4, b = 2, and c = -1.
Plugging these values into the formula for the discriminant, we get:
Δ = (2)^2 - 4(4)(-1)
Δ = 4 - (-16)
Δ = 4 + 16
Δ = 20
Therefore, the discriminant of the quadratic equation 4x^2 + 2x - 1 = 0 is 20. Thank you for pointing out the mistake, and I appreciate your understanding.
For the equation 4x^2 + 2x - 1 = 0, we have a = 4, b = 2, and c = -1.
Plugging these values into the formula for the discriminant, we get:
Δ = (2)^2 - 4(4)(-1)
Δ = 4 - (-16)
Δ = 4 + 16
Δ = 20
Therefore, the discriminant of the quadratic equation 4x^2 + 2x - 1 = 0 is 20. Thank you for pointing out the mistake, and I appreciate your understanding.
What is the discriminant of the quadratic equation −x^2 +9x−8=0?
GPT 3.5
For the equation −x^2 + 9x - 8 = 0, we have a = -1, b = 9, and c = -8.
Plugging these values into the formula for the discriminant, we get:
Δ = (9)^2 - 4(-1)(-8)
Δ = 81 - 32
Δ = 49
Therefore, the discriminant of the quadratic equation −x^2 + 9x - 8 = 0 is 49.
Plugging these values into the formula for the discriminant, we get:
Δ = (9)^2 - 4(-1)(-8)
Δ = 81 - 32
Δ = 49
Therefore, the discriminant of the quadratic equation −x^2 + 9x - 8 = 0 is 49.