Check sibling questions

Ex 4.3, 3 - Find roots of (i) x - 1/x = 3 (ii) 1/x+4 - 1/x-7 - Ex 4.3

Ex 4.3, 3 - Chapter 4 Class 10 Quadratic Equations - Part 2

This video is only available for Teachoo black users

 


Transcript

Ex 4.3 ,3 Find the roots of the following equations: (i) x – 1/𝑥=3,𝑥≠0 x – 1/𝑥=3 (𝑥(𝑥) − 1 )/𝑥 = 3 (𝑥^2 − 1 )/𝑥 = 3 x2 – 1 = 3x x2 – 3x – 1 = 0 Comparing equation with ax2 + bx + c = 0 So, a = 1, b = –3, c = –1 We know that D = b2 – 4ac D = ( –3)2 – 4×1×−1 D = 9 + 4 D = 13 Hence, roots to equation are given by x = (− 𝑏 ± √𝐷)/2𝑎 Putting values x = (− (− 3) ± √13)/(2 × 1) x = (3 ± √13)/2 Hence, roots to equation are x = (3 + √13)/2 or x = (3 − √13)/2

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 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.