Determine o valor de x de modo que x-7;x+2 e x+38,nesta ordem,formem uma PG.Encontre a razão.... Pergunta de ideia deaninha123456789

aninha123456789 @aninha123456789

October 2020 1 185 Report

Determine o valor de x de modo que x-7;x+2 e x+38,nesta ordem,formem uma PG.Encontre a razão

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3478elc

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   x-7;x+2 e x+38,

x + 2 = x+ 38
x - 7 x+ 2
(x+2)² = (x-7)(x+38)
x²+4x + 4 = x²+ 38x-7x- 266
x²+ 38x-7x- 266 -x²-4x - 4 = 0
27x - 270 = 0
27x = 270
x = 10



1) x-7= 10-7= 3
2) x+2= 10+2 = 12
3) x+38= 10+38=48

(3,12,48,.............)

q = 12 ==> q = 4
3

2 votes Thanks 3

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