6x^3/5=17x^3/4-2x^-1/4

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Solution for 6x^3/5=17x^3/4-2x^-1/4 equation: 


D( x )

x = 0

x = 0

x = 0

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

(6*x^3)/5 = (17*x^3)/4-((2*x^-1)/4) // - (17*x^3)/4-((2*x^-1)/4)

(6*x^3)/5-((17*x^3)/4)+(2*x^-1)/4 = 0

(6*x^3)/5+(-17/4)*x^3+(2*x^-1)/4 = 0

1/2*x^-1-61/20*x^3 = 0

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

-61/10*x^4 = -1 // : -61/10

x^4 = 10/61

x^4 = 10/61 // ^ 1/4

abs(x) = (10/61)^(1/4)

x = (10/61)^(1/4) or x = -(10/61)^(1/4)

1/(2*x) = 0

1/2*x^-1 = 0 // : 1/2

x^-1 = 0

x należy do O

x in { (10/61)^(1/4), -(10/61)^(1/4) }

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