Question

The difference between the square of a natural number and the number itself is 110. Find the number.​

Answer 1

Answer:

Let be a number is x, the square of a number is x^2.

The difference between the square of a number and a natural number itself is 110.

x^2 - x = 110,

x^2 - x - 110 = 0,

x^2 - 11x + 10x - 110 = 0,

x(x-11) -10(x-11) = 0,

(x-11) (x-10) = 0,

x = 10 and 11

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Answer 2

Answer:

Step-by-step explanation:  

Let the no. be x

x^2 - x = 110

=>x(x - 1) = 110

As x and (x - 1)are consecutive no.

Therefore

x(x - 1) = 11 × 10

i.e. x = 11

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