To solve the quadratic equation 4v² - 4v - 8, we can use the quadratic formula:
v = (-b ± √(b² - 4ac)) / (2a)
In this case, the coefficients are:
a = 4
b = -4
c = -8
Substituting these values into the formula, we get:
v = (-(-4) ± √((-4)² - 4(4)(-8))) / (2(4))
v = (4 ± √(16 + 128)) / 8
v = (4 ± √144) / 8
v = (4 ± 12) / 8
Simplifying further, we have:
v₁ = (4 + 12) / 8 = 16 / 8 = 2
v₂ = (4 - 12) / 8 = -8 / 8 = -1
Therefore, the solutions to the equation 4v² - 4v - 8 are v = 2 and v = -1.