use the quadratic formula to solve the formula -4x^2 - 3 x + 2 = 0

Answer 1

To solve the quadratic equation -4x^2 - 3x + 2 = 0 using the quadratic formula, we first need to define the coefficients in the equation:

a = -4
b = -3
c = 2

Then, we can apply the quadratic formula, which states:

x = (-b ± √(b^2 - 4ac))/(2a)

Plugging in the values, we have:

x = (3 ± √((-3)^2 - 4(-4)(2)))/(2(-4))
x = (3 ± √(9 + 32))/(2(-4))
x = (3 ± √(41))/(2(-4))
x = (3 ± √(41))/(-8)

Thus, the solutions to the equation -4x^2 - 3x + 2 = 0 are:

x = (3 + √(41))/(-8)
x = (3 - √(41))/(-8)