Question

find the discriminant of quadratic equation 2 x square - 4 x + 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

Answer:

$Discreminant (D)<0\\Roots \: are \:not \:real$

Step-by-step explanation:

$Compare \: given \\ quadratic \: equation \: 2x^{2}-4x+3=0\\with \: ax^{2}+bx+c=0,\:we\:get$

$a=2,\:b=-4,\:c=3,$

$Discreminant (D)$

$=b^{2}-4ac$

$= (-4)^{2}-4\times 2\times 3\\=16-24\\=-8\\<0$

Therefore,.

$Discreminant (D)<0\\Roots \: are \:not \:real$

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