4x^2-8=5/y

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Solution for 4x^2-8=5/y equation: 


x in (-oo:+oo)

4*x^2-8 = 5/y // - 5/y

4*x^2-(5/y)-8 = 0

4*x^2-5*y^-1-8 = 0

4*x^2 = -(-5*y^-1-8) // : 4

x^2 = (8-(-5*y^-1))/4

x^2 = (5*y^-1+8)/4 // ^ 1/2

abs(x) = ((5*y^-1+8)^(1/2))/2

x = ((5*y^-1+8)^(1/2))/2 or x = -(((5*y^-1+8)^(1/2))/2)

x in { ((5*y^-1+8)^(1/2))/2, -(((5*y^-1+8)^(1/2))/2) }

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