Question

Given the equation 0 = 4^2 + 2x - 1, which substitution of values a, b, and c into the quadratic formula is correct?

a) x = (-b + √(b² - 4ac)) / (2a)
b) x = (-b - √(b² - 4ac)) / (2a)
c) x = (2a) / (-b + √(b² - 4ac))
d) x = (2a) / (-b - √(b² - 4ac))

Answer 1

The correct substitution of values a, b, and c into the quadratic formula is option b) x = (-b - √(b² - 4ac)) / (2a).

Step-by-step explanation:

The correct substitution of values a, b, and c into the quadratic formula is option b) x = (-b - √(b² - 4ac)) / (2a).

Given the equation 0 = 4^2 + 2x - 1, we can substitute the values a = 1, b = 0.0211, and c = -0.0211 into the quadratic formula.

Plugging these values into option b) x = (-b - √(b² - 4ac)) / (2a), we get:

x = (-0.0211 - √(0.0211)² - 4(1)(-0.0211)) / (2(1))