Question

8. 3x2x 330

Answer 1

Given equation is 3 x 2 − 2 x+3 3 =0 .

Any equation of the form a x 2 +bx+c=0 has the solution

x= −b± D 2a

Here, D= b 2 −4ac is called the discriminant of the quadratic equation.

x= 2 ± 2−4× 3 ×3 3 2 3 = 2 ± −34 2 3 = 2 ± 34 i 2 3

Thus, x= 2 ± 34 i 2 3 .