(1/5)x^(-4/5)=(-4/5)x^(-9/5)

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Solution for (1/5)x^(-4/5)=(-4/5)x^(-9/5) equation: 


D( x )

x = 0

x = 0

x = 0

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

(1/5)*x^(-4/5) = (-4/5)*x^(-9/5) // - (-4/5)*x^(-9/5)

(1/5)*x^(-4/5)-((-4/5)*x^(-9/5)) = 0

(1/5)*x^(-4/5)+(4/5)*x^(-9/5) = 0

1/5*x^(-4/5)+4/5*x^(-9/5) = 0

1/5*x^(-4/5)*(4*x^-1+1) = 0

4*x^-1 = -1 // : 4

x^-1 = -1/4

-1 < 0

1/(x^1) = -1/4 // * x^1

1 = -1/4*x^1 // : -1/4

-4 = x^1

x = -4

1/(5*x^(4/5)) = 0

1/5*x^(-4/5) = 0 // : 1/5

x^(-4/5) = 0

x należy do O

x = -4

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