Question

Find the solutions of the quadratic equation 3x² - 4x - 4 = 0

a) x = -1/3, 2
b) x = -2/3, -1
c) x = 2, -2/3
d) x = 1, -2

Answer 1

To solve the quadratic equation 3x² - 4x - 4 = 0, apply the quadratic formula. The solutions are x = 2 and x = -2/3.

Step-by-step explanation:

To solve the quadratic equation 3x² - 4x - 4 = 0, we can use the quadratic formula. For an equation of the form ax² + bx + c = 0, the solutions are given by the formula:

x = (-b ± √(b² - 4ac)) / (2a)

In this case, a = 3, b = -4, and c = -4. Plugging these values into the formula, we get:

x = (-(-4) ± √((-4)² - 4(3)(-4))) / (2(3))

Simplifying further, we get:

x = (4 ± √(16 + 48)) / 6

x = (4 ± √64) / 6

x = (4 ± 8) / 6

This gives us two solutions:

x = 2

x = -2/3