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Popular Word Problems >

Find three consecutive even integers such that the square of the third is 52 more than the square of the second. The smallest integer is The middle integer is The largest integer is

Solution

solve for

t h ree co n sec u t i v e e v e n in t e g ers s u c h t ha t t h e s q u a re o f t h e t hi r d i s 52 m ore t han t h e s q u a re o f t h e seco n d . T h e s ma ll es t in t e g er i s T h e mi dd l e in t e g er i s T h e l a r g es t in t e g er i s

Solution

No Solution

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

A.T.Q.:

x = (x + 2) (x + 4)

Solve

x = (x + 2) (x + 4) :

No Solution for

x \in R

No Solution

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