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Example 9 - Chapter 4 Class 10 Quadratic Equations (Important Question)

Last updated at May 29, 2023 by

Example 18 - Find discriminant of 3x2 - 2x + 1/3 = 0 and - Nature of roots

Example 18 - Chapter 4 Class 10 Quadratic Equations - Part 2

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Example 9 Find the discriminant of the equation 3x2 2x + 1/3 = 0 and hence find the nature of its roots. Find them, if they are real. 3x2 2x + 1/3=0 (3 3 2 3 2 + 1)/3=0 9x2 6x +1 = 0 3 9x2 6x + 1 = 0 Comparing equation with ax2 + bx + c = 0 a = 9, b = 6 , c = 1 We know that D = b2 4ac D = ( 6)2 4 9 1 D = 36 36 D = 0 Since D = 0 The given equation has two equal real roots Now using quadratic formula to find roots x = ( )/2 Putting values x = ( ( 6) 0)/(2 9) x = (6 + 0 )/18 x = (6 )/18 x = 1/3 Hence, the roots of the equation are 1/3 , 1/3 .

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.