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pl give the answer with steps, see the following attachment. thanks

Arun
25763 Points
2 years ago
Dear student

take LCM

hence you will get

( 5 + 1 – 2 sqt 5 + 5 + 1 + 2 sqrt 5) / (5-1)

= 12 /4 = 3

hence a = 3 and b = 0
Piyush Kumar Behera
435 Points
2 years ago
As the previous solution was not illustrated properly,Hence here is a better solution..
$\frac{\sqrt{5}-1}{\sqrt{5}+1}+\frac{\sqrt{5}+1}{\sqrt{5}-1}$
Taking LCM of the above expression we get
$=\frac{(\sqrt{5}-1)^{2}+(\sqrt{5}+1)^{2}}{(\sqrt{5}-1)(\sqrt{5}+1)}$
$= \frac{5+1-2\sqrt{5}+5+1+2\sqrt{5}}{\sqrt{5}^{2}-1^{2}}$
$=\frac{12}{5-1}$

a  = 12/4 = 3
b = 0

So the answer is a = 3 and  b = 0.