Question

Solve using the quadratic formula

3n^2+5n-4=0
Write your answers as integers, proper or improper fractions in simplest form or decimals rounded to the nearest hundredth

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve 3n^2 + 5n - 4 = 0 using the quadratic formula, we have:

a = 3, b = 5, c = -4

n = (-b ± √(b^2 - 4ac)) / 2a

n = (-5 ± √(5^2 - 4*3*(-4))) / 2*3
n = (-5 ± √(25 + 48)) / 6
n = (-5 ± √73) / 6

Therefore, the solutions are:

n = (-5 + √73) / 6
n ≈ 0.41 (rounded to the nearest hundredth)

n = (-5 - √73) / 6
n ≈ -1.74 (rounded to the nearest hundredth)

So, the solutions to the quadratic equation 3n^2 + 5n - 4 = 0 are n ≈ 0.41 and n ≈ -1.74.