2x^(4/5)(x-4)+4/5x^(-1/5)(x-4)^2=0

Simple and best practice solution for 2x^(4/5)(x-4)+4/5x^(-1/5)(x-4)^2=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 2x^(4/5)(x-4)+4/5x^(-1/5)(x-4)^2=0 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

14/5*x^(9/5)-72/5*x^(4/5)+64/5*x^(-1/5) = 0

14/5*x^(9/5)-72/5*x^(4/5)+64/5*x^(-1/5) = 0

2/5*x^(-1/5)*(7*x^2-36*x+32) = 0

7*x^2-36*x+32 = 0

DELTA = (-36)^2-(4*7*32)

DELTA = 400

DELTA > 0

x = (400^(1/2)+36)/(2*7) or x = (36-400^(1/2))/(2*7)

x = 4 or x = 8/7

2/5*x^(-1/5)*(x-8/7)*(x-4) = 0

2/5*x^(-1/5)*(x-8/7)*(x-4) = 0

( 2/5*x^(-1/5) )

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

x^(-1/5) = 0

x naleu017Cy do O

( x-4 )

x-4 = 0 // + 4

x = 4

( x-8/7 )

x-8/7 = 0 // + 8/7

x = 8/7

x in { 4, 8/7 }

See similar equations:

| 4x+18=53-3 | | (y-7)-(y+9)=6y | | 2x+30+8x+66=180 | | 2x^3+7x^2-28x+12=0 | | 48ab+56b-60a-70= | | 22x+17y=500 | | 39.5+13.9(13.7-18.7)= | | (y-6)-(y+3)=5y | | x=-(1/3)y+1 | | 16x^2+1090x+x-3.2=0 | | 16x^2-1090x-3.2=0 | | 16x^2+1090x-3.2=0 | | 75x-900-x^2=0 | | 3x-6y=-10 | | 175/7x=500 | | 40*2/100 | | 1/3(x+9)=-1 | | 2+by=7x | | x+3=sqrt(10x+5) | | g(x)=720+45x | | 2(2x+5)=(5x+29) | | 2sqrt(2x+5)=sqrt(5x+29) | | 4(m)=(3m+4) | | 4sqrt(m)=sqrt(3m+4) | | -19.95+1.10x=-0.15 | | 13x+3y=8 | | (2t+7)=(10t+5) | | 4x+13y=87 | | (5t+12)-9=6 | | (3m+2)=(8m+3) | | sqrt(3m+2)=sqrt(8m+3) | | 1x^2/6x+5 |

Equations solver categories