(X-2)^2/5=(15X-86)^1/5

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Solution for (X-2)^2/5=(15X-86)^1/5 equation: 


X in (-oo:+oo)

((X-2)^2)/5 = ((15*X-86)^1)/5 // - ((15*X-86)^1)/5

((X-2)^2)/5-(((15*X-86)^1)/5) = 0

((X-2)^2)/5-((15*X-86)/5) = 0

((X-2)^2)/5+(-1*(15*X-86))/5 = 0

(X-2)^2-1*(15*X-86) = 0

X^2-19*X+90 = 0

X^2-19*X+90 = 0

X^2-19*X+90 = 0

DELTA = (-19)^2-(1*4*90)

DELTA = 1

DELTA > 0

X = (1^(1/2)+19)/(1*2) or X = (19-1^(1/2))/(1*2)

X = 10 or X = 9

(X-9)*(X-10) = 0

((X-9)*(X-10))/5 = 0

((X-9)*(X-10))/5 = 0 // * 5

(X-9)*(X-10) = 0

( X-10 )

X-10 = 0 // + 10

X = 10

( X-9 )

X-9 = 0 // + 9

X = 9

X in { 10, 9 }

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