Question

find the discriminant of the quadratic equation 2x² + 4x + 3 equal to zero and hence find the nature of its roots

Answer 1

Eq. Us 2 x^2-4x+3=0

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

=>D=b^2-4ac=16-24=-8

D<0 So, roots are imaginary or not real

Hope it helps

Answer 2

${b}^{2} - 4ac \\ {4}^{2} - 4 \times 2 \times 3 \\ = 16 - 24 \\ = - 8$
discriminant is negative hence roots are imaginary