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Popular >

Find two consecutive integers such that the square of the smaller plus twice the larger is50.

Solution

Find two consecutive integers such that the square of the smaller plus twice the larger is50.

Solution

The numbers : 6, 7 or - 8, - 7

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x^{2} + 2 (x + 1) = 50

Solve

x^{2} + 2 (x + 1) = 50 : x = 6, x = - 8

Plug in

x = 6 : 7

Plug in

x = - 8 : - 7

The numbers : 6, 7 or - 8, - 7

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