Question
What is the discriminant of the quadratic equation 5, x, squared, minus, 8, x, minus, 7, equals, 05x
2
−8x−7=0?
2
−8x−7=0?
Answers
GPT 3.5
The discriminant of a quadratic equation of the form ax^2 + bx + c = 0 is given by the expression b^2 - 4ac.
In this case, the quadratic equation is 5x^2 - 8x - 7 = 0.
a = 5, b = -8, and c = -7.
Plugging these values into the discriminant formula, we get:
Discriminant = (-8)^2 - 4(5)(-7)
= 64 + 140
= 204
Therefore, the discriminant of the given quadratic equation is 204.
In this case, the quadratic equation is 5x^2 - 8x - 7 = 0.
a = 5, b = -8, and c = -7.
Plugging these values into the discriminant formula, we get:
Discriminant = (-8)^2 - 4(5)(-7)
= 64 + 140
= 204
Therefore, the discriminant of the given quadratic equation is 204.