Find the discriminant of equation 2xsq-4x+3=0 and find the nature of its roots

The given equation is,2x2 + 4x + 3 = 0Comparing it with ax2 + bx + c = 0, we get a = 2; b = 4; c = 3Now, D = b2 - 4ac = 16 - 4×2×3 = 16-24 = -8 < 0Since, D < 0, the roots of the above equation are imaginary.

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D=b^2-4ac=(-4)^2-4*2*3=16-24= -8
since  D<0,therefore,the roots are imaginary
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