Solve all your doubts with Teachoo Black (new monthly pack available now!)
Examples
Example 1 (ii)
Example 2 Important
Example 3
Example 4
Example 5 Important
Example 6
Example 7 Deleted for CBSE Board 2023 Exams
Example 8 Important Deleted for CBSE Board 2023 Exams
Example 9 Important Deleted for CBSE Board 2023 Exams
Example 10
Example 11
Example 12 Important
Example 13 (i)
Example 13 (ii) Important
Example 13 (iii)
Example 14 (i)
Example 14 (ii)
Example 15 Important
Example 16
Example 17 Important
Example 18 You are here
Examples
Last updated at Aug. 3, 2021 by Teachoo
Example 18 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 .