Question

If
$\frac{ \sqrt{5 } - 1 }{ \sqrt{5} + 1} + \frac{ \sqrt{5} + 1 }{ \sqrt{5 - 1} } = a + b \sqrt{5}$
find a and b.​

Answer 1

Step-by-step explanation:

Hello!!

Here is your answer

$\frac{ \sqrt{5} - 1}{ \sqrt{5} + 1} + \frac{ \sqrt{5} + 1 }{ \sqrt{5} - 1} = a + b \sqrt{5}$

$\frac{((\sqrt{5} - 1) {}^{2} + ( \sqrt{5} + 1) {}^{2} )}{( \sqrt{5} {}^{2} - 1 {}^{2} )}$

$\frac{12}{4} = a + b \sqrt{5}$

so a= 3

b = 0