Question

If the expression x+809436*809438 be a perfect square, then the value of x?

Answer 1

Answer:

x = 1

Step-by-step explanation:

Hi,

Given expression is

x + 809436*809438,

We can write 809436 = 809437 - 1

809438 = 809437 + 1.

So, we can write

809436*809438

= (809437 - 1)*(809437 + 1)

Using identity,(a - b)*(a + b) = a² - b²

we can write given expression as

x + 809437² - 1

Clearly, we can observe that if x = 1, the

above expression becomes a perfect square

= 809437²

Hence, the value of x is 1.

Hope, it helps !