5x=80(x^-1/3)

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Solution for 5x=80(x^-1/3) equation:


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

5*x = 80*((x^-1)/3) // - 80*((x^-1)/3)

5*x-(80*((x^-1)/3)) = 0

5*x+(-80/3)*x^-1 = 0

5*x^1-80/3*x^-1 = 0

(5*x^2-80/3*x^0)/(x^1) = 0 // * x^2

x^1*(5*x^2-80/3*x^0) = 0

x^1

5*x^2-80/3 = 0

5*x^2-80/3 = 0

DELTA = 0^2-(4*5*(-80/3))

DELTA = 1600/3

DELTA > 0

x = ((1600/3)^(1/2)+0)/(2*5) or x = (0-(1600/3)^(1/2))/(2*5)

x = ((1600/3)^(1/2))/10 or x = (-(1600/3)^(1/2))/10

x in { (-(1600/3)^(1/2))/10, ((1600/3)^(1/2))/10}

x in { (-(1600/3)^(1/2))/10, ((1600/3)^(1/2))/10 }

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