Question

Find a and b
2-√5/2+√5=a+b√5​

Answer 1

https://www.studyrankersonline.com/?qa=blob&qa_blobid=8688415900751083621

Answer 2

Answer:

$a = 1 \\ b = \frac{1}{2}$

Step-by-step explanation:

$\frac{2 - \sqrt{5} } {2} + \sqrt{5} = a + b\sqrt{5} \\ \\ = > \frac{2 - \sqrt{5} + 2 \sqrt{5} }{2} = a+ b \sqrt{5} \\ \\ = > \frac{2 + 2 \sqrt{5} - \sqrt{5} }{2} = a+ b\sqrt{5} \\ \\ = > \frac{2 + \sqrt{5} }{2} = a+ b \sqrt{5} \\ \\ = > \frac{2}{2} + \frac{ \sqrt{5} }{2} = a+ b\sqrt{5} \\ \\ = > 1 + \frac{1}{2} \sqrt{5} =a + b \sqrt{5} \\ \\ a = 1 \\ b = \frac{1}{2}$

hope it helps.