What is the correct answer when you solve 2x2 − 5x − 4 = 0 using the quadratic formula? pproxiamatly
To solve the quadratic equation 2x^2 - 5x - 4 = 0 using the quadratic formula, we can take the following steps:
First, let's identify the coefficients from the equation:
a = 2
b = -5
c = -4
Now, we can substitute these values into the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / (2a)
Plugging in the values:
x = (-(-5) ± sqrt((-5)^2 - 4 * 2 * -4)) / (2 * 2)
x = (5 ± sqrt(25 + 32)) / 4
x = (5 ± sqrt(57)) / 4
Therefore, the correct approximate answers are:
x ≈ (5 + sqrt(57)) / 4
x ≈ (5 - sqrt(57)) / 4