In this answer the point (4,-8/3) does not satisfy the equation 6y = x^2 
So how is this one of the solutions???

 

Dear Student,
The given curve is 9y2=x3And 4,±83 are points on the curve so these points have to satisfy the equation 9y2=x3.so we have;9y2=9×832=9×649=64and x3=43=64Also, 9y2=9×-832=9×649=64and x3=43=64Therefore, 4,±83 are solutions. 
Regards

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The pt should satisfy equation of the given curve i.e. 9y^2 = x^3
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