(x^2+15x)^1/4-2=0

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Solution for (x^2+15x)^1/4-2=0 equation: 


x in (-oo:+oo)

((x^2+15*x)^1)/4-2 = 0

(x^2+15*x)/4-2 = 0

(x^2+15*x)/4+(-2*4)/4 = 0

x^2+15*x-2*4 = 0

x^2+15*x-8 = 0

x^2+15*x-8 = 0

x^2+15*x-8 = 0

DELTA = 15^2-(-8*1*4)

DELTA = 257

DELTA > 0

x = (257^(1/2)-15)/(1*2) or x = (-257^(1/2)-15)/(1*2)

x = (257^(1/2)-15)/2 or x = (-(257^(1/2)+15))/2

(x+(257^(1/2)+15)/2)*(x-((257^(1/2)-15)/2)) = 0

((x+(257^(1/2)+15)/2)*(x-((257^(1/2)-15)/2)))/4 = 0

((x+(257^(1/2)+15)/2)*(x-((257^(1/2)-15)/2)))/4 = 0 // * 4

(x+(257^(1/2)+15)/2)*(x-((257^(1/2)-15)/2)) = 0

( x+(257^(1/2)+15)/2 )

x+(257^(1/2)+15)/2 = 0 // - (257^(1/2)+15)/2

x = -((257^(1/2)+15)/2)

( x-((257^(1/2)-15)/2) )

x-((257^(1/2)-15)/2) = 0 // + (257^(1/2)-15)/2

x = (257^(1/2)-15)/2

x in { -((257^(1/2)+15)/2), (257^(1/2)-15)/2 }

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