maya200663
maya200663 maya200663
  • 03-03-2021
  • Mathematics
contestada

if 3,a-1,a+1 and 5 are pproportional,then a =?

Respuesta :

jimrgrant1 jimrgrant1
  • 03-03-2021

Answer:

a = ± 4

Step-by-step explanation:

Expressing the proportion in fractional form

[tex]\frac{3}{a-1}[/tex] = [tex]\frac{a+1}{5}[/tex] ( cross- multiply )

(a -1 )(a + 1) = 15 ← expand factors on left side

a² - 1 = 15 ( add 1 to both sides )

a² = 16 ( take the square root of both sides )

a = ± [tex]\sqrt{16}[/tex] = ± 4

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