(1/x)+1/(x+4)=1/3

Simple and best practice solution for (1/x)+1/(x+4)=1/3 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 (1/x)+1/(x+4)=1/3 equation: 


D( x )

x+4 = 0

x = 0

x+4 = 0

x+4 = 0

x+4 = 0 // - 4

x = -4

x = 0

x = 0

x in (-oo:-4) U (-4:0) U (0:+oo)

1/(x+4)+1/x = 1/3 // - 1/3

1/(x+4)+1/x-(1/3) = 0

1/(x+4)+1/x-1/3 = 0

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

1*3*(x+4)-1*x*(x+4)+1*3*x = 0

6*x-x^2-4*x+12 = 0

2*x-x^2+12 = 0

2*x-x^2+12 = 0

2*x-x^2+12 = 0

DELTA = 2^2-(-1*4*12)

DELTA = 52

DELTA > 0

x = (52^(1/2)-2)/(-1*2) or x = (-52^(1/2)-2)/(-1*2)

x = (2*13^(1/2)-2)/(-2) or x = (-2*13^(1/2)-2)/(-2)

(x-((2*13^(1/2)-2)/(-2)))*(x-((-2*13^(1/2)-2)/(-2))) = 0

((x-((2*13^(1/2)-2)/(-2)))*(x-((-2*13^(1/2)-2)/(-2))))/(3*x*(x+4)) = 0

((x-((2*13^(1/2)-2)/(-2)))*(x-((-2*13^(1/2)-2)/(-2))))/(3*x*(x+4)) = 0 // * 3*x*(x+4)

(x-((2*13^(1/2)-2)/(-2)))*(x-((-2*13^(1/2)-2)/(-2))) = 0

( x-((-2*13^(1/2)-2)/(-2)) )

x-((-2*13^(1/2)-2)/(-2)) = 0 // + (-2*13^(1/2)-2)/(-2)

x = (-2*13^(1/2)-2)/(-2)

( x-((2*13^(1/2)-2)/(-2)) )

x-((2*13^(1/2)-2)/(-2)) = 0 // + (2*13^(1/2)-2)/(-2)

x = (2*13^(1/2)-2)/(-2)

x in { (-2*13^(1/2)-2)/(-2), (2*13^(1/2)-2)/(-2) }

See similar equations:

| (2x-8*34-2)=0 | | (1/x)+1/(x+2)=(1/5) | | (1/x)+(2/x-5)=0 | | 3(x-1)/2-5=4-2x/3 | | (1/x)+(2/x-1)=3 | | (1/x)+(2/x+1)=(5x-1)/(x+1) | | (1/x)+(1/x+4)=1/5 | | (1/x)+(1/x+4)-(1/5)=0 | | 6x^2-18x+6=0 | | -7/8-1/2x=3/4 | | (1/x)+(1/x+2)=(1/7) | | (1/X)+(1/X+11)=(21/11X+33) | | (1/x)+(1/5)=2 | | (1/x)+(1/2x)=(1/13) | | (1/x)+(1/(x-1))=1/4 | | (1/x)+(1/(x+4))=(1/15) | | (1/x)+(1/(x+2))=(1/2) | | (1/x)+(1/(x+11))=(21/(11x+33)) | | (1/x)+((3x)/(5x-2))=0 | | (1/w-3)-(1/5w-15)=4/5w-15 | | 3x-22=8x-18 | | (1/w-1)-(3/4w-4)=1/4w-4 | | (1/s+a)+1/s+b=1/c | | (1/r)=(1/2)+(1/3) | | (1/p)+(12/(p-18))=p/(p-18) | | 12x=7x+40 | | (1/p)+(1/p-1)=-2 | | (1/p)+(1/(p-1))=-2 | | (1/m)+(1/2m)=1/2 | | (1/j)+(1/b)=(1/f) | | 15y^2-4y-4=0 | | 4-(-1)=g |

Equations solver categories