x^(-2/5)-2x^(-1/5)-15

Simple and best practice solution for x^(-2/5)-2x^(-1/5)-15 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 x^(-2/5)-2x^(-1/5)-15 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

t_1 = x^(-1/5)

1*t_1^2-2*t_1^1-15 = 0

t_1^2-2*t_1-15 = 0

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

DELTA = 64

DELTA > 0

t_1 = (64^(1/2)+2)/(1*2) or t_1 = (2-64^(1/2))/(1*2)

t_1 = 5 or t_1 = -3

t_1 = -3

x^(-1/5)+3 = 0

1*x^(-1/5) = -3 // : 1

x^(-1/5) = -3

-1/5 < 0

1/(x^(1/5)) = -3 // * x^(1/5)

1 = -3*x^(1/5) // : -3

-1/3 = x^(1/5)

x^(1/5) = -1/3 // ^ 5

x = -1/243

t_1 = 5

x^(-1/5)-5 = 0

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

x^(-1/5) = 5

-1/5 < 0

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

1 = 5*x^(1/5) // : 5

1/5 = x^(1/5)

x^(1/5) = 1/5 // ^ 5

x = 1/3125

x in { -1/243, 1/3125 }

See similar equations:

| 4/5m=9/10m= | | 0=2x^3-6x^2+1 | | m(n-3)=0 | | 2x+32+90=180 | | (-3/(x^4))=(-4/(x^5)) | | 48.5=2.49+x | | 3x+32+90=180 | | x+20+x+x+70= | | 3(2x-9)-4=3(x-4)+8 | | 3z+4=3z-1 | | 54+(x-2)+(180-2x)=180 | | (j*j)-9jk-10*k(k)=0 | | 1/2x=1/3x=5 | | -210+6x=6 | | 7x-9*2=5x | | (180-2x)+54+(x-2)=180 | | -8x^12-14x^8/-2x^4 | | 5-.5x=0.625x+2 | | .20(180)+8= | | 25p+10(1-p)=5p+15(1-p) | | x^2+6y+2x+14=0 | | (180-2x)+54+(x+2)=360 | | 2k-6/4= | | Sin(y)=0 | | 4(2x-6)-2=4(x-3)+10 | | x-34=-6x+78 | | 9x-2(2x-7)+4(3-5x)= | | (180-2x)+54+(x+2)=180 | | (27a^-3/8b^6)^-1/3 | | 6y-7=10y+5 | | x^8+x^4-240=0 | | 8x-(2x+11)=37 |

Equations solver categories