Question

find the value of x if 10000x =(9982) ^2 - (18)^2

Answer 1

Hi...



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

10000x = 9964×10000

x = 9964



:)

Answer 2

The value of x = 9964

Given :

10000x = 9982² - 18²

To find :

The value of x

Formula : a² - b² = ( a + b ) ( a - b )

Solution :

Step 1 of 2 :

Write down the given equation

The given equation is 10000x = 9982² - 18²

Step 2 of 2 :

Find the value of x

We use the formula a² - b² = ( a + b ) ( a - b )

$\displaystyle \sf{ \implies 10000x = {9982}^{2} - {18}^{2} }$

$\displaystyle \sf{ \implies 10000x = (9982 + 18) \times (9982 - 18) }$

$\displaystyle \sf{ \implies 10000x = 10000 \times 9964}$

$\displaystyle \sf{ \implies x = \frac{10000 \times 9964}{10000} }$

$\displaystyle \sf{ \implies x = 9964 }$

The value of x = 9964