Question

Solve 3x²2 - 2x + 4 = 0.

A)
B)
C)
D)
1± √√√11
3
1± √√√13
3
1 ±i√√11
3
1+1√√13
3

Answer 1

To solve the equation 3x²2 - 2x + 4 = 0, we can use the quadratic formula. The quadratic formula states that for an equation of the form ax² + bx + c = 0, the solutions for x are given by:

x = (-b ± √(b² - 4ac)) / (2a)

In this case, a = 3, b = -2, and c = 4. Substituting these values into the quadratic formula, we have:

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

x = (2 ± √(4 - 48)) / 6

x = (2 ± √(-44)) / 6

Since the discriminant (-44) is negative, the solutions involve imaginary numbers. Therefore, the answer is:

1 ± i√11

3

Hence, the correct answer is 1 ± i√√11/3.