0=4/3*x^(1/3)-4/3*x^(-2/3)

Simple and best practice solution for 0=4/3*x^(1/3)-4/3*x^(-2/3) 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 0=4/3*x^(1/3)-4/3*x^(-2/3) equation: 


D( x )

x = 0

x = 0

x = 0

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

0 = (4/3)*x^(1/3)-((4/3)*x^(-2/3)) // - (4/3)*x^(1/3)-((4/3)*x^(-2/3))

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

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

4/3*x^(-2/3)-4/3*x^(1/3) = 0

t_1 = x^(1/3)

4/3*t_1^-2-4/3*t_1^1 = 0

4/3*t_1^-2-4/3*t_1^1 = 0

(4/3*t_1^0-4/3*t_1^3)/(t_1^2) = 0 // * t_1^4

t_1^2*(4/3*t_1^0-4/3*t_1^3) = 0

t_1^2

(-4/3)*t_1^3+4/3 = 0

(-4/3)*t_1^3+4/3 = 0 // * 0

{ 1, -1, 2, -2, 4, -4 }

1

t_1 = 1

4-4*t_1^3 = 0

1

t_1-1

-4*t_1^2-4*t_1-4

4-4*t_1^3

t_1-1

4*t_1^3-4*t_1^2

4-4*t_1^2

4*t_1^2-4*t_1

4-4*t_1

4*t_1-4

0

-4*t_1^2-4*t_1-4 = 0

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

DELTA = -48

DELTA < 0

t_1 in { 1} 

t_1 = 1

x^(1/3)-1 = 0

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

x^(1/3) = 1

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

x = 1

x = 1

See similar equations:

| 2(9-w)= | | 2.6b+1.8b= | | 2/7×1/7 | | X-25=42 | | 3x+7-6x=31-3x | | 3(x-2)+5(x-1)=2x-2(x+3)+11 | | 2-4x=1-6x | | (7-8i)(8+7i)= | | 6x-4y=-34 | | 1/5x-8=4 | | 20X+10y(1500-x)=25000 | | 2x+12=-5 | | -5x+-12x= | | -4(x)=x^3+2x | | 100/300=183.8/x | | 3(x-9)+8x=11x-27 | | 5x+2=x-15 | | 5x^2-6x-16=0 | | 7z+-8z-9z+3z= | | 0=5x^2+6 | | 5x^2-6x-16= | | 5x=17x-8 | | x=7-6x | | -y/9=4 | | Ax-4y+2=0 | | -5+t=13 | | 38+7x=8x+32 | | 5x-16=42 | | 8+24=12x-4 | | X^2+5x=4x-2 | | 5/8=x/(2/3) | | 10y+16=4(4y-8) |

Equations solver categories