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

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


D( x )

x^2-1 = 0

x^2-1 = 0

x^2-1 = 0

1*x^2 = 1 // : 1

x^2 = 1

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

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

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

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

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

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

2*x-x^3-1 = 0

2*x-x^3-1 = 0

2*x-x^3-1 = 0

{ 1, -1 }

1

x = 1

2*x-x^3-1 = 0

1

x-1

1-x^2-x

2*x-x^3-1

x-1

x^3-x^2

2*x-x^2-1

x^2-x

x-1

1-x

0

1-x^2-x = 0

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

DELTA = 5

DELTA > 0

x = (5^(1/2)+1)/(-1*2) or x = (1-5^(1/2))/(-1*2)

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

x in { (5^(1/2)+1)/(-2), (1-5^(1/2))/(-2), 1} 

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

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

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

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

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

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

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

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

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

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

( x-1 )

x-1 = 0 // + 1

x = 1

x in { 1} 

x in { (1-5^(1/2))/(-2), (5^(1/2)+1)/(-2) }

See similar equations:

| 4v-14=26 | | 49a=245 | | (B+7)(B+-10)= | | (B+7)(B+-10)=0 | | 2x+y=-28 | | -4(1-5x)=3(4+x) | | 3lnx+2=o | | 4x^2-8xy-21y^2=0 | | 7x+2=58whatisx | | 4(1-5x)=3(4+x) | | x^3+x^2-14x-24=-10 | | 23,674/b=38 | | 23x-23=4(4x-6)+7x+1 | | 3j-4=j-2 | | x^3+x^2-14x-14=0 | | c/39=150 | | 4p+2.6=11.1+3p | | P=3l+4w | | d/5=66 | | logx(20)=2 | | (3x+1)*12x=360 | | 5x^2-50x+70=0 | | 54-(2p)-4=0 | | 5x-21y+3=0 | | 16x^2-11x-42=0 | | (B+7)*(B-10)= | | -2e-2=14+10E | | -2(5x-9)+6=-10x+24 | | n/-62=-54 | | 4,128/d=86 | | X*2(A+B)-X+3X= | | 3x+1*12x=360 |

Equations solver categories