(a-1)/(a^2-2*a)-a/(a^2-4)

Simple and best practice solution for (a-1)/(a^2-2*a)-a/(a^2-4) 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 (a-1)/(a^2-2*a)-a/(a^2-4) equation: 


D( a )

a^2-(2*a) = 0

a^2-4 = 0

a^2-(2*a) = 0

a^2-(2*a) = 0

a^2-2*a = 0

a^2-2*a = 0

DELTA = (-2)^2-(0*1*4)

DELTA = 4

DELTA > 0

a = (4^(1/2)+2)/(1*2) or a = (2-4^(1/2))/(1*2)

a = 2 or a = 0

a^2-4 = 0

a^2-4 = 0

1*a^2 = 4 // : 1

a^2 = 4

a^2 = 4 // ^ 1/2

abs(a) = 2

a = 2 or a = -2

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

(a-1)/(a^2-(2*a))-(a/(a^2-4)) = 0

(a-1)/(a^2-2*a)-(a/(a^2-4)) = 0

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

a^2-2*a = 0

a^2-2*a = 0

a*(a-2) = 0

a-2 = 0 // + 2

a = 2

a*(a-2) = 0

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

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

(a-1)*(a^2-4)-1*a^2*(a-2) = 0

a^2-4*a+4 = 0

a^2-4*a+4 = 0

a^2-4*a+4 = 0

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

DELTA = 0

a = 4/(1*2)

a = 2 or a = 2

(a-2)^2 = 0

((a-2)^2)/(a*(a-2)*(a^2-4)) = 0

((a-2)^2)/(a*(a-2)*(a^2-4)) = 0 // * a*(a-2)*(a^2-4)

(a-2)^2 = 0

a-2 = 0 // + 2

a = 2

a in { 2} 

a belongs to the empty set

See similar equations:

| 14x+16=5x+151 | | 3=3-3x+27 | | 33x^2-24xy+40y^2-19=0 | | y=a(bx) | | 1-x/6=2x/3 | | xy-4x-2y+5=0 | | 3x+57=6x-6 | | 760=2y+x | | 20.5*5-13= | | 2x+5y-z=4 | | 1.3x+3.5y=1 | | 3(7b-6)= | | 7(3-x)=2-3(8-x) | | x*2+41= | | 10-2x=8-2(20-2x) | | 39x1/3= | | 4.75-9.5= | | 4(x+3)-6=8+2(3x-6) | | X^2+xy+y^2=21 | | -2+-3x=-6+13x | | X^2-17=8y+39 | | x+0.20x=47 | | 7k+5=k+8 | | 2=x-20/30 | | X+5X+10=70 | | 3x+4.9=19 | | 3(2x-1)=4(2-X) | | 17p+12q+p-7q-4p= | | 25-3x=4x-3 | | 5(3-x)=35 | | 6m+4n-2m+11n= | | 6+35x=20x+24 |

Equations solver categories