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Example 7 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 . Since D <𝟎 So, the given equation has no real roots .

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo