Check sibling questions

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

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

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Transcript

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 .

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

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.