To solve the quadratic equation 4x² + 2x - 1 = 0, you can use the quadratic formula or factoring. Let's use the quadratic formula:
The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), where a, b, and c are the coefficients of the equation.
In this case, a = 4, b = 2, and c = -1.
x = (-2 ± √(2² - 4(4)(-1))) / (2(4)) x = (-2 ± √(4 + 16)) / 8 x = (-2 ± √(20)) / 8 x = (-2 ± 2√5) / 8
Therefore, the solutions to the equation 4x² + 2x - 1 = 0 are:
x = (-2 + 2√5) / 8 x = (-2 - 2√5) / 8
