Find the value of x, if:(i) 4x = (52)2 - (48)2(ii) 14x = (47)2 - (33

1.	Find the value of x, if:(i) 4x = (52)2 - (48)2(ii) 14x = (47)2 - (33)2(iii) 5x = (50)2 - (40)2
Answer» (i) 4x = 52² - 48² 4x = (52 – 48) (52 + 48) 4x = 4 × 100 4x = 400 x = 100 (ii) 14x = (47)² - (33)² 14x = (47 – 33) (47 + 33) 14x = 14 × 80 x = 80 (iii) 5x = (50)² - (40)² Using formula: a² – b² = (a – b) (a + b), we get 5x = (50 – 40) (50 + 40) 5x = 10 × 90 5x = 900 x = 180

Find the value of x, if:(i) 4x = (52)2 - (48)2(ii) 14x = (47)2 - (33)2(iii) 5x = (50)2 - (40)2

Answer»

(i) 4x = 52² - 48²

4x = (52 – 48) (52 + 48)

4x = 4 × 100

4x = 400

x = 100

(ii) 14x = (47)² - (33)²

14x = (47 – 33) (47 + 33)

14x = 14 × 80

x = 80

(iii) 5x = (50)² - (40)²

Using formula:

a² – b² = (a – b) (a + b), we get

5x = (50 – 40) (50 + 40)

5x = 10 × 90

5x = 900

x = 180