x=(10x^2-24)^1/4

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Solution for x=(10x^2-24)^1/4 equation: 


x in (-oo:+oo)

x = ((10*x^2-24)^1)/4 // - ((10*x^2-24)^1)/4

x-(((10*x^2-24)^1)/4) = 0

x-((10*x^2-24)/4) = 0

(-1*(10*x^2-24))/4+x = 0

(-1*(10*x^2-24))/4+(4*x)/4 = 0

4*x-1*(10*x^2-24) = 0

4*x-10*x^2+24 = 0

4*x-10*x^2+24 = 0

2*(2*x-5*x^2+12) = 0

2*x-5*x^2+12 = 0

DELTA = 2^2-(-5*4*12)

DELTA = 244

DELTA > 0

x = (244^(1/2)-2)/(-5*2) or x = (-244^(1/2)-2)/(-5*2)

x = (2*61^(1/2)-2)/(-10) or x = (-2*61^(1/2)-2)/(-10)

2*(x-((2*61^(1/2)-2)/(-10)))*(x-((-2*61^(1/2)-2)/(-10))) = 0

(2*(x-((2*61^(1/2)-2)/(-10)))*(x-((-2*61^(1/2)-2)/(-10))))/4 = 0

(2*(x-((2*61^(1/2)-2)/(-10)))*(x-((-2*61^(1/2)-2)/(-10))))/4 = 0 // * 4

2*(x-((2*61^(1/2)-2)/(-10)))*(x-((-2*61^(1/2)-2)/(-10))) = 0

( x-((-2*61^(1/2)-2)/(-10)) )

x-((-2*61^(1/2)-2)/(-10)) = 0 // + (-2*61^(1/2)-2)/(-10)

x = (-2*61^(1/2)-2)/(-10)

( x-((2*61^(1/2)-2)/(-10)) )

x-((2*61^(1/2)-2)/(-10)) = 0 // + (2*61^(1/2)-2)/(-10)

x = (2*61^(1/2)-2)/(-10)

x in { (-2*61^(1/2)-2)/(-10), (2*61^(1/2)-2)/(-10) }

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