Question

write the following number as the difference of square of consecutive natural.59​

Answer 1

Answer:

Step-by-step explanation:

he difference of the square of two consecutive numbers is 21.

To find:

The two consecutive numbers.

Solution:

From the question, we can understand that the difference between the two numbers is 1.

And the difference between their square is 21.

We can take that the two numbers are x and x+1.

From the question,  

(x+1)²-x²=21,

By using the formula of(a+b)²=a²+b²+2ab,

Then, applying the (a+b)² formula to (x+1)²,

We can get,

x²+1²+(2×x×1)-x²=21,

x²+1²+2x-x²=21,

2x+1=21,

2x=21-1,

2x=20,