Question

3x^2+ 4x -2 please fasttt

Answer 1

Given equation is 3x ^2 −4x+3=0

To find, the nature of the roots of the equation

An equation is said to have

(i) two distinct and real roots if the discriminant b^2 −4ac>0

(ii) equal real roots if b ^2 −4ac=0

(iii) no real roots or imaginary roots if b ^2−4ac<0

In the given equation a=3,b=−4,c=3

Hence the discriminant is -

(−4) ^2 −4(3(3)=16−36=−20<0

Therefore the roots of the given equation are imaginary in nature.