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

Simple and best practice solution for 3/(x+1)-1/x=1/2 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 3/(x+1)-1/x=1/2 equation:


D( x )

x = 0

x+1 = 0

x = 0

x = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x in (-oo:-1) U (-1:0) U (0:+oo)

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

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

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

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

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

2*3*x-1*2*(x+1)-1*x*(x+1) = 0

4*x-x^2-x-2 = 0

3*x-x^2-2 = 0

3*x-x^2-2 = 0

3*x-x^2-2 = 0

DELTA = 3^2-(-2*(-1)*4)

DELTA = 1

DELTA > 0

x = (1^(1/2)-3)/(-1*2) or x = (-1^(1/2)-3)/(-1*2)

x = 1 or x = 2

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

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

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

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

( x-1 )

x-1 = 0 // + 1

x = 1

( x-2 )

x-2 = 0 // + 2

x = 2

x in { 1, 2 }

See similar equations:

| 3x^2-13x+4/3x^2-7x-20 | | 12x^2-28+15=0 | | 5x^4-8x=0 | | 5x^4+8x=0 | | 5x=2x+2(x-1)+2(x-6) | | 9b-7=5b | | -161+-8=10x+19 | | -8m+19=-5 | | 1/3+2/x=3/x | | -(x+5)-(8+3x)+5=2x+6 | | 8x+6-12x=3x-16 | | -61-8x=10x+19 | | 3x^2-13x+4=3x^2-7x-20 | | 73=5-4n | | 144-6x=5x+2 | | (x+3)=(7)(4) | | -8x-2x=30 | | 4x^2-33x+39=-9x+4 | | 216=x^2+6x+8 | | 8q^2-10q+3= | | X=3x+17 | | 8-3*b=22 | | X^2+6x-228=0 | | 8-3*a=22 | | 3/5x6/8 | | -2.1(-4p+6)-3.1p= | | 4(2n-2)=(5n+4)+3 | | (n-2)*180=168 | | 65x=64x-72 | | x/-11=-8 | | 7y+2(y-5)=4(y+2)-5 | | X^2+12=3 |

Equations solver categories