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Ex 4.3

Ex 4.3, 1 (i)
Deleted for CBSE Board 2023 Exams

Ex 4.3, 1 (ii) Important Deleted for CBSE Board 2023 Exams

Ex 4.3, 1 (iii) Deleted for CBSE Board 2023 Exams

Ex 4.3, 1 (iv) Important Deleted for CBSE Board 2023 Exams

Ex 4.3, 2 (i)

Ex 4.3, 2 (ii)

Ex 4.3, 2 (iii)

Ex 4.3, 2 (iv) Important

Ex 4.3, 3 (i) Important

Ex 4.3, 3 (ii)

Ex 4.3, 4

Ex 4.3, 5

Ex 4.3, 6

Ex 4.3, 7 Important You are here

Ex 4.3, 8 Important

Ex 4.3, 9 Important

Ex 4.3, 10 Important

Ex 4.3, 11

Chapter 4 Class 10 Quadratic Equations

Serial order wise

Last updated at Dec. 21, 2021 by Teachoo

Ex 4.3 ,7 The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers. Let larger number be x Given, The square of the smaller number is 8 times the larger number (Smaller number)2 = 8 × Larger number (Smaller number)2 = 8x Smaller number = ±√8𝑥 Also, given that Difference of squares of two numbers is 180 ∴ Square of larger number – square of smaller number = 180 (Larger number)2 – (Smaller number)2 = 180 x2 – (Smaller number)2 = 180 x2 – (√8𝑥 )^2 = 180 x2 – 8x = 180 x2 – 8x – 180 = 0 We factorize using splitting the middle term method x2 + 10x – 18x – 180 = 0 x (x + 10) – 18 (x + 10) = 0 (x – 18) (x + 10) = 0 So, x = 18 and x = – 10 are the roots of the equation Taking x = 18 Larger number = x = 18 & Smaller number = ±√8𝑥 = ±√(8 ×18) = ±√144 = ±√(〖12〗^2 ) = ± 12 Taking x = – 10 Larger number = x = – 10 & Smaller number =±√8𝑥 =±√(8(−10) ) =±√(−80) Since we cannot have negative number in roots x = – 10 is not possible So, our two numbers are 18 & 12 And 18 & −12