Identify the x-intercepts of y = 2x^2 − 5x − 4 using the quadratic formula,
The quadratic formula is x = (-b ± √(b^2 - 4ac))/(2a).
For the equation y = 2x^2 - 5x - 4,
a = 2, b = -5, and c = -4.
Plugging these values into the quadratic formula, we get:
x = (-(-5) ± √((-5)^2 - 4(2)(-4))) / (2(2))
x = (5 ± √(25 + 32)) / 4
x = (5 ± √57) / 4
Therefore, the x-intercepts of y = 2x^2 - 5x - 4 are:
x = (5 + √57) / 4
x = (5 - √57) / 4