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Question 3 (i) - Ex 4.3 - Chapter 4 Class 10 Quadratic Equations

Last updated at May 29, 2023 by

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

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Ex 4.3 ,3 Find the roots of the following equations: (i) x – 1/π‘₯=3,π‘₯β‰ 0 x – 1/π‘₯=3 (π‘₯(π‘₯) βˆ’ 1 )/π‘₯ = 3 (π‘₯^2 βˆ’ 1 )/π‘₯ = 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 – 4Γ—1Γ—βˆ’1 D = 9 + 4 D = 13 Hence, roots to equation are given by x = (βˆ’ 𝑏 Β± √𝐷)/2π‘Ž Putting values x = (βˆ’ (βˆ’ 3) Β± √13)/(2 Γ— 1) x = (3 Β± √13)/2 Hence, roots to equation are x = (3 + √13)/2 or x = (3 βˆ’ √13)/2

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