Question

Can someone please help me with the problem? Please show your work.

Directions: Solve the following. Which is a solution to 3x^2 + 2 =0?

(√6/3)i

2/3

1

(2/3)i
​

Answer 1

To solve the equation 3x^2 + 2 =0, use the quadratic formula. The solutions are x = (√24i) / 6 and x = - (√24i) / 6.

Step-by-step explanation:

To solve the equation 3x^2 + 2 =0, we can use the quadratic formula. For an equation of the form ax^2 + bx + c = 0, the quadratic formula is:

x = (-b ± √(b^2 - 4ac)) / (2a)

Substituting the values a = 3, b = 0, and c = 2 into the formula, we get:

x = (-0 ± √(0^2 - 4(3)(2))) / (2(3))

x = ± √(-24) / 6

x = ± (√24i) / 6

Therefore, the solutions to the equation are x = (√24i) / 6 and x = - (√24i) / 6.