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Popular >

Find two consecutive positive integers such that the square of the larger integer is nineteen more than nine times the smaller integer.

Solución

Find two consecutive positive integers such that the square of the larger integer is nineteen more than nine times the smaller integer.

Solución

The numbers : 9, 10

Pasos de solución

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

(x + 1)^{2} = 19 + 9 x

Resolver

(x + 1)^{2} = 19 + 9 x : x = 9, x = - 2

Select positive solutions:

9

x + 1 = 9 + 1 = 10

The numbers : 9, 10

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