If x-1 is a natural number then the next natural number is x-1 + 1 = X Which is the next natural number What is (x-1) * (X+1). A, b, c are any three consecutive natural number write the relationship between the product of a and c and the square of b.

Question

Mathematics

Amy Branch

14 January, 14:02

If x-1 is a natural number then the next natural number is x-1 + 1 = X Which is the next natural number What is (x-1) * (X+1). A, b, c are any three consecutive natural number write the relationship between the product of a and c and the square of b.

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Answers (1)

Know the Answer?

Isai Jones · Answer 1

See below.

Step-by-step explanation:

The next natural number is x+1.

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

Let a = x-1, b = x and c = x+1 (as they are consecutive numbers).

Product of a and c = ac = x^2 - 1 (as above).

b^2 = x^2.

so ac = x^2 - 1 = b^2 - 1

ac = b^2 - 1