3/4(x^1/4)-1/2(x^3/4)

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Solution for 3/4(x^1/4)-1/2(x^3/4) equation: 


x in (-oo:+oo)

(3/4)*((x^1)/4)-((1/2)*((x^3)/4)) = 0

(-1/8)*x^3+(3/4)*(x/4) = 0

3/16*x-1/8*x^3 = 0

1/8*x*(3/2-x^2) = 0

-1*x^2 = -3/2 // : -1

x^2 = 3/2

x^2 = 3/2 // ^ 1/2

abs(x) = (3/2)^(1/2)

x = (3/2)^(1/2) or x = -(3/2)^(1/2)

x/8 = 0

1/8*x = 0 // : 1/8

x = 0

x in { (3/2)^(1/2), -(3/2)^(1/2), 0 }

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