Question

What will be the nature of roots of 2x² - 4x + 3 = 0 ? 

(A) not real 

(B) real and equal 

(C) real and unequal 

(D) none of these

Answer 1

Correct option is (A) not real

 \(2x^{2}-4 x+3=0\)

Comparing Equation with \(a x^{2}+b x+c=0\)

a = 2, b = -4, c = 3

We know that,

\(D  =b^{2}-4 a c\)

\( =(-4)^{2}-4 \times 2 \times 3\)

= 16 - 24

= -8

Since D<0

\(\therefore \) So, the given Equation has no real roots.