Question

Find the quadratic root of 3 x² - 4x + 2​

Answer 1

this quadratic equation has two roots:

x = (2+i√(2))/3 , (2-i√(2))/3

Steps:

3x²-4x+2​=0

x = (4±√((-4)²-4×3×2))/2×3

x = (4±√(16-24))/6

x = (4±√(-8))/6

x = (4±√(-2×4))/6

x = (4±√(-2)×√(4))/6

x = (4±i√(2)×2)/6

x = (2±i√(2))/3

x = (2+i√(2))/3 , (2-i√(2))/3

Answer 2

it has no real roots.

and the 2nd answer is correct.

Explanation: