Question

What are the solution of a equation 3×^2+6×-24=0

Answer 1

x = 2 and x = -4

Explanation:

To find the solutions to the quadratic equation 3x^2 + 6x - 24 = 0, you can use the quadratic formula, which is given by:

x = (-b ± √(b² - 4ac)) / (2a)

In this equation, a = 3, b = 6, and c = -24. Plug these values into the quadratic formula:

x = (-6 ± √(6² - 4 * 3 * (-24))) / (2 * 3)

Now, calculate the values inside the square root and simplify:

x = (-6 ± √(36 + 288)) / 6

x = (-6 ± √324) / 6

x = (-6 ± 18) / 6

Now, consider both the positive and negative square root solutions:

x = (-6 + 18) / 6

x = 12 / 6

x = 2

x = (-6 - 18) / 6

x = -24 / 6

x = -4

So, the solutions to the equation 3x^2 + 6x - 24 = 0 are x = 2 and x = -4.