Help me Please I need the answer
This is from : Singapore Mathematics Olympiad 2001
I have the answer. But I want to know how to solve it!
Can someone, a good mathematician, please show me the steps of how to solve it?
Answer: x = 6.750...
(Thanks to Wolfram|Alpha.)
Wolfram alpha drew the graph of:
and then found where they intercepted to calculate what x was.
Alternate form:
I don't think you will get the answer anywhere else unless someone good at maths has a lot of time to solve it.
Hello, OnlyMath!
I performed a lot of Olympic-level gymnastics,
. . but it got me nowhere . . .
. . .[1]
Under radical we have: .
Subtract and add 9: .
. . . . . . . . . . . . .
. . . . . . . . . . . . .
. . . . . . . . . . . . .
Hence: .
Under radical we have: .
Subtract and add 16: .
. . . . . . . . . . . . .
. . . . . . . . . . . . .
. . . . . . . . . . . . .
Hence: .
Substitute into [1]: .
And we have: .
And there is no elementary solution to this transcendental equation.