1. Chapter 4 Class 10 Quadratic Equations
  2. Serial order wise

Transcript

Ex 4.3 ,1 Find the roots of the following quadratic equations, if they exist, by the method of completing the square: (iii) 4x2 + 4โˆš3 ๐‘ฅ+3=0 4x2 + 4 โˆš3 ๐‘ฅ+3=0 Dividing whole equation 4 (4๐‘ฅ^2+ 4 โˆš3 ๐‘ฅ+ 3)/4=0/4 (4๐‘ฅ^2)/4 + (4 โˆš3)/4 x + 3/4=0 x2 + โˆš3 ๐‘ฅ+ 3/4 = 0 We know that (a + b)2 = a2 + 2ab + b2 Here, a = x & 2ab = โˆš3 ๐‘ฅ 2xb = โˆš3 ๐‘ฅ 2b = โˆš3 b = โˆš3/2 Now, in our equation x2 + โˆš3 ๐‘ฅ+3/4=0 Adding and subtracting (โˆš3/2)^2 x2 + โˆš3 ๐‘ฅ+3/4+(โˆš3/2)^2โˆ’(โˆš3/2)^2=0 x2 + โˆš3 ๐‘ฅ+(โˆš3/2)^2+3/4โˆ’(โˆš3/2)^2=0 (๐‘ฅ+โˆš3/2 )^2+3/4โˆ’(โˆš3/2)^2=0 (๐‘ฅ+โˆš3/2 )^2+3/4โˆ’3/4=0 (๐‘ฅ+โˆš3/2 )^2=0 (๐‘ฅ+โˆš3/2 )^2=02 Cancelling square both sides (๐‘ฅ+โˆš3/2 )^2= ยฑ 0 So, the root of the equation are x = (โˆ’โˆš3)/2 & x = (โˆ’โˆš3)/2

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.