Find the value of x, if 10000x = (9982)² - (18)²

Solution:

Given, 10000x = (9982)² - (18)²

The identity a² - b² = (a - b) (a + b) can be used in RHS

Here, a = 9982 and b = 18, we get,

10000x = (9982 - 18) (9982 + 18)

10000x = 9964 × 10000

x = (9964 × 10000) / 10000

x = 9964

✦ Try This: Find the value of x, if 2000 x = (9280)² - (20)²

Given, 2000x =(9280)² - (20)²

The identity a² - b² = (a - b) (a + b) can be used in RHS

Here, a = 9280 and b = 20, we get,

2000x = (9280 - 20)(9280 + 20)

2000x = (9260) ×(9300)

x = (9260 × 9300)/2000

x = 43059

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 9

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NCERT Exemplar Class 8 Maths Chapter 7 Sample Problem 20

Find the value of x, if 10000x = (9982)² - (18)²

Summary:

The value of x, if 10000x = (9982)² - (18)² is 9964

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