Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Ex 4.3
Question 1 (ii) Important Deleted for CBSE Board 2024 Exams
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Question 1 (iv) Important Deleted for CBSE Board 2024 Exams
Question 2 (i)
Question 2 (ii)
Question 2 (iii)
Question 2 (iv) Important
Question 3 (i) Important
Question 3 (ii)
Question 4
Question 5
Question 6
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Question 8 Important
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Question 10 Important
Question 11
Last updated at May 29, 2023 by Teachoo
Ex 4.3 ,1 Find the roots of the following quadratic equations, if they exist, by the method of completing the square: (iii) 4x2 + 4β3 π₯+3=0 4x2 + 4 β3 π₯+3=0 Dividing whole equation 4 (4π₯^2+ 4 β3 π₯+ 3)/4=0/4 (4π₯^2)/4 + (4 β3)/4 x + 3/4=0 x2 + β3 π₯+ 3/4 = 0 We know that (a + b)2 = a2 + 2ab + b2 Here, a = x & 2ab = β3 π₯ 2xb = β3 π₯ 2b = β3 b = β3/2 Now, in our equation x2 + β3 π₯+3/4=0 Adding and subtracting (β3/2)^2 x2 + β3 π₯+3/4+(β3/2)^2β(β3/2)^2=0 x2 + β3 π₯+(β3/2)^2+3/4β(β3/2)^2=0 (π₯+β3/2 )^2+3/4β(β3/2)^2=0 (π₯+β3/2 )^2+3/4β3/4=0 (π₯+β3/2 )^2=0 (π₯+β3/2 )^2=02 Cancelling square both sides (π₯+β3/2 )^2= Β± 0 So, the root of the equation are x = (ββ3)/2 & x = (ββ3)/2