### * Developing and Applying the Quadratic Formula

- The solution of a quadratic equation, a𝑥² + b𝑥 + c = 0, where a,b, and c constants a ≠ 0, is given by the quadratic formula: 𝑥= -b ±√b² – 4ac ∕ 2a

#### Examples

- 3𝑥² + 6𝑥 – 4 = 0

a = 3, b = 6, b = -4

𝑥 = -6 ±√6² – 4(3)(-4) / 2(3)

𝑥 = -6 ±√36 + 48 / 6

𝑥 = -6 ±√84 / 6

𝑥 = -1 ±√14