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How can I get 38.8 as the answer

But none of the solution of √3.h^3 - 64h^2 + 128h - 64 = 0
is h=38.8

Solution of √3.h^3 - 64h^2 + 128h - 64 = 0
are h=0.87 , h=1.22 and h=34.9

I meant is 34.88 haha

typoo how did you get the sol'ns ?

u need to solve for h
√3h^3 - 64h^2 + 128h - 64 = 0

so @mayankdevnani is right.. @sauravshakya

I guess yes...

guess?? but answer is coorect

*correct

√3h^3 - 64h^2 + 128h - 64 = 0 how did you arrive to three answers ? quadratic eqn?

I see no error in the logic...

http://www.wolframalpha.com/input/?i=%E2%88%9A3*x%5E3+-+64x%5E2+%2B+128x+-+64+%3D+0

And since,
t=(4h / √3) / (h - 1)
h=0.87 is rejected because t cant be negative