find the solutions of the quadratic equation 3x² - 2x + 4 = 0. choose 1 answer: a $\frac{1}{3}pm\frac{sqrt{44…

Explanation:

Step1: Identify coefficients

For the quadratic equation $3x^{2}-2x + 4=0$, we have $a = 3$, $b=-2$, $c = 4$.

Step2: Calculate the discriminant

The discriminant $\Delta=b^{2}-4ac=(-2)^{2}-4\times3\times4=4 - 48=-44$.

Step3: Use the quadratic - formula

The quadratic formula is $x=\frac{-b\pm\sqrt{\Delta}}{2a}$. Substituting the values, we get $x=\frac{2\pm\sqrt{-44}}{2\times3}=\frac{2\pm2\sqrt{11}i}{6}=\frac{1\pm\sqrt{11}i}{3}$.

Answer:

B. $\frac{1}{3}\pm\frac{\sqrt{11}}{3}i$