Question
Solve using the quadratic formula.
–2d2 − 5d + 6 = 0
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
–2d2 − 5d + 6 = 0
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
Answers
GPT 3.5
Using the quadratic formula, where the equation is in the form ax^2 + bx + c = 0:
a = -2, b = -5, c = 6
The quadratic formula is:
x = (-b ± √(b^2 - 4ac)) / 2a
Plugging in the values:
d = (5 ± √((-5)^2 - 4*(-2)*6)) / 2*(-2)
d = (5 ± √(25 + 48)) / -4
d = (5 ± √73) / -4
Therefore, the solutions are:
d ≈ (5 + √73) / -4
d ≈ (5 - √73) / -4
Therefore, the solutions are approximately:
d ≈ -1.64
d ≈ 3.64
a = -2, b = -5, c = 6
The quadratic formula is:
x = (-b ± √(b^2 - 4ac)) / 2a
Plugging in the values:
d = (5 ± √((-5)^2 - 4*(-2)*6)) / 2*(-2)
d = (5 ± √(25 + 48)) / -4
d = (5 ± √73) / -4
Therefore, the solutions are:
d ≈ (5 + √73) / -4
d ≈ (5 - √73) / -4
Therefore, the solutions are approximately:
d ≈ -1.64
d ≈ 3.64