sivaramjuvva1 sivaramjuvva1
  • 13-01-2020
  • Mathematics
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Please answer this question

Please answer this question class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 13-01-2020

Answer:

  • a = 3/2
  • b = -1/2

Step-by-step explanation:

  [tex]\dfrac{\sqrt{5}-1}{\sqrt{5}+1}=\dfrac{(\sqrt{5}-1)(\sqrt{5}-1)}{(\sqrt{5}+1)(\sqrt{5}-1)}\\\\=\dfrac{5-2\sqrt{5}+1}{5-1}=\dfrac{6-2\sqrt{5}}{4}\\\\=\dfrac{3}{2}-\dfrac{1}{2}\sqrt{5}[/tex]

Comparing this to the form a+b√5, we see that ...

  a = 3/2

  b = -1/2

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