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Popular >

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

Solución

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

Solución

The numbers : 9, 10 or - 2, - 1

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

Sustituir

x = 9 : 10

Sustituir

x = - 2 : - 1

The numbers : 9, 10 or - 2, - 1

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