Question

Write the following numbers as the difference of the squares of two b.261​

Answer 1

Answer:

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Answer 2

Answer:

(x+1)^2 - x^2 = 1041

Step-by-step explanation:

Let the two numbers be (x+1) and x.

The equation is written as

(x+1)^2 - x^2 = 1041.

The solution is

x^2 + 2x + 1 - x^2 = 1041, or

2x + 1 = 1041, or

2x = 1040, or

x = 520.

So the two numbers are 521 and 520.

Check: 521^1 - 520^2 = (521+520)(521–520) = 1041*1 = 1041. Correct.