Example 16 - Chapter 4 Class 10 Quadratic Equations (Term 2)

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Example 16 Find the discriminant of the quadratic equation 2x2 4x + 3 = 0, and hence find the nature of its roots. 2x2 4x + 3 = 0 Comparing equation with ax2 + bx + c = 0 a = 2, b = 4, c = 3 We know that D = b2 4ac D = ( 4)2 4 (2) (3) D = 16 24 D = 8 Since D <0 So, the given equation has no real roots .