(h+8/3)^2=7/9

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Solution for (h+8/3)^2=7/9 equation: 


h in (-oo:+oo)

(h+8/3)^2 = 7/9 // - 7/9

(h+8/3)^2-(7/9) = 0

(h+8/3)^2-7/9 = 0

(9*(h+8/3)^2)/9-7/9 = 0

9*(h+8/3)^2-7 = 0

9*h^2+48*h+57 = 0

9*h^2+48*h+57 = 0

3*(3*h^2+16*h+19) = 0

3*h^2+16*h+19 = 0

DELTA = 16^2-(3*4*19)

DELTA = 28

DELTA > 0

h = (28^(1/2)-16)/(2*3) or h = (-28^(1/2)-16)/(2*3)

h = (2*7^(1/2)-16)/6 or h = (-2*7^(1/2)-16)/6

3*(h-((-2*7^(1/2)-16)/6))*(h-((2*7^(1/2)-16)/6)) = 0

(3*(h-((-2*7^(1/2)-16)/6))*(h-((2*7^(1/2)-16)/6)))/9 = 0

(3*(h-((-2*7^(1/2)-16)/6))*(h-((2*7^(1/2)-16)/6)))/9 = 0 // * 9

3*(h-((-2*7^(1/2)-16)/6))*(h-((2*7^(1/2)-16)/6)) = 0

( h-((-2*7^(1/2)-16)/6) )

h-((-2*7^(1/2)-16)/6) = 0 // + (-2*7^(1/2)-16)/6

h = (-2*7^(1/2)-16)/6

( h-((2*7^(1/2)-16)/6) )

h-((2*7^(1/2)-16)/6) = 0 // + (2*7^(1/2)-16)/6

h = (2*7^(1/2)-16)/6

h in { (-2*7^(1/2)-16)/6, (2*7^(1/2)-16)/6 }

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