Question

Solve by using the quadratic formula. 3x^2 - 4x = 2.

Answer 1

The quadratic formula is given by:

x = [-b ±√(b)² - 4ac / 2a]

In the given equation:

3x² - 4x - 2 = 0

a=3, b=-4 and c=-2

So we punch all this into the formula:

x = -(-4) ±√(-4)²- 4(3)(-2) / 2(3)

x = 4 ±√16 + 24 / 2(3)

x = 4/6 ± 1/6√40

x = 2/3 ±1/3√10