(1/x)+(1/(x+2))=1/5

Simple and best practice solution for (1/x)+(1/(x+2))=1/5 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+2))=1/5 equation: 


D( x )

x+2 = 0

x = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x = 0

x = 0

x in (-oo:-2) U (-2:0) U (0:+oo)

1/(x+2)+1/x = 1/5 // - 1/5

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

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

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

1*5*(x+2)-1*x*(x+2)+1*5*x = 0

10*x-x^2-2*x+10 = 0

8*x-x^2+10 = 0

8*x-x^2+10 = 0

8*x-x^2+10 = 0

DELTA = 8^2-(-1*4*10)

DELTA = 104

DELTA > 0

x = (104^(1/2)-8)/(-1*2) or x = (-104^(1/2)-8)/(-1*2)

x = (2*26^(1/2)-8)/(-2) or x = (-2*26^(1/2)-8)/(-2)

(x-((2*26^(1/2)-8)/(-2)))*(x-((-2*26^(1/2)-8)/(-2))) = 0

((x-((2*26^(1/2)-8)/(-2)))*(x-((-2*26^(1/2)-8)/(-2))))/(5*x*(x+2)) = 0

((x-((2*26^(1/2)-8)/(-2)))*(x-((-2*26^(1/2)-8)/(-2))))/(5*x*(x+2)) = 0 // * 5*x*(x+2)

(x-((2*26^(1/2)-8)/(-2)))*(x-((-2*26^(1/2)-8)/(-2))) = 0

( x-((-2*26^(1/2)-8)/(-2)) )

x-((-2*26^(1/2)-8)/(-2)) = 0 // + (-2*26^(1/2)-8)/(-2)

x = (-2*26^(1/2)-8)/(-2)

( x-((2*26^(1/2)-8)/(-2)) )

x-((2*26^(1/2)-8)/(-2)) = 0 // + (2*26^(1/2)-8)/(-2)

x = (2*26^(1/2)-8)/(-2)

x in { (-2*26^(1/2)-8)/(-2), (2*26^(1/2)-8)/(-2) }

See similar equations:

| 10(n)=37 | | 12x+5=5-5 | | 3/8(x+1/4)=6/5x+2 | | (4x+10)=(3x+11) | | Y=1/2*0+6 | | 3n+3.5=9.2 | | (3x+4)=(4x-8) | | 6x-[3x-2(x-2)]=11 | | -4.7-6x=6.7 | | -3x=37 | | 6(0)+11y=5 | | -7-3x=-40 | | -12=-3v-6 | | -6p-4=8 | | Y=2(5)-14 | | 9y+8=6y+4 | | -74=-2+8x | | -12=b/9-10 | | 8+n/2=5 | | 1/4(8a+40)=7a | | -4=-2+k/5 | | 0=a/2+4 | | (y+1)=2(x+5) | | 20w^2-5wz+2wz+6w^2-4=0 | | 12x^2+5x^2+2=0 | | x-.8x=300 | | -376x=14-3x | | .8x=300 | | 5/6(6m+24)=9m | | -7=-y+5 | | 100+10x=180/x+100+5x | | 25x^2+49=-70x |

Equations solver categories