I am only one,
But still I am one.
I cannot do everything,
But still I can do something;
And because I cannot do everything
I will not refuse to do the something that I can do.
- Edward Everett Hale
The best way to approach this sort of a problem is to
draw the graph......
If you draw the graph it comes out to be a parabola
With axes as Energy and Displacement
I dont know how to draw the graphs here but it can be
easily found that the latus rectum comes out to be
-b^2/4a which is the potential energy at equilibrium.
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From J.R.R. Tolkien's 'The Lord of the Rings':
All that is gold does not glitter
Not all who wander are lost
The old that is strong does not wither,
Deep roots are not reached by frost.
From ashes a fire shall be woken
From shadows a light shall spring
Renewed shall be blade that's broken
The crown less again shall be king.