
Dattaprabhakar G. answered 08/12/14
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Alex:
First equation gives y = x2 / 2. So x2 / 2 = 4 x3, giving x = 1 / 8 and y = x2 / 2 = 1/128.
Check y = 4x3 = 4(1/512)= 1/ 128, 2y = 1/64 and x2 = (1/8)2 = 1/64.
Dattaprabhakar (Dr.G.)

Dattaprabhakar G.
x2 / 2 = 4 x3.
Divide both sides by x. (Note that x = 0
is a solution but not interesting. So look for non-zero solutions. Then you can divide by x on both sides.)
You get 1 / 2 = 4 x.
Divide both sides by 4.
You get 1 / 8 = x. This is the same as x = 1 / 8. Do you follow?
Dattaprabhakar (Dr. G.)
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08/13/14
Alex M.
08/12/14