What are the solutions of 3 x^2-x+4=0

The solution of given equation for x is  (0.16 + i 1.14) , (0.16 - i 1.14)  

Step-by-step explanation:

Given as :

The quadratic equation is as 3 x² - x + 4 = 0

Since The given equation is quadratic

∵, Standard quadratic equation is ax² + bx + c = 0

Now, x =

Comparing the equation

i.e x =

or, x =

Or, x =

Or, x =

Or, x = (0.16 + i 1.14)   , (0.16 - i 1.14)

So, The solution of given equation for x = (0.16 + i 1.14)   , (0.16 - i 1.14)

Hence, The solution of given equation for x is  (0.16 + i 1.14) , (0.16 - i 1.14)  . Answer

irrational, cannot