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777dan777 [17]
3 years ago
11

Please answer this question

Mathematics
1 answer:
Vladimir [108]3 years ago
8 0

Answer:

  • a = 3/2
  • b = -1/2

Step-by-step explanation:

  \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}

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

  a = 3/2

  b = -1/2

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