.
Let x = . (1)
It is what you ask to simplify.
Square both sides of (1). You will get
x^2 = 5 + x, or
x^2 - x - 5 = 0.
Use the quadratic formula:
= = .
Since x, obviously, must be > 0, only positive root is the solution: x = .
Answer. = .
Solved !
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Amazingly, isn't it ?
Let me show you another, even more amazing calculation !
Simplfy .
Solution
Let x = . (2)
It is what I want to simplify.
Square both sides of (2). You will get
x^2 = 2 + x, or
x^2 - x - 2 = 0.
Use the quadratic formula:
= = = .
Since x, obviously, must be > 0, only positive root is the solution: x = = 2.
Answer. = 2.
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Next time, please, use plain text format ONLY when post problems to this forum.
Other formats are UNREADABLE.
It was a miracle that I was able to decipher and read it.