((3u^2)/(u^2-4))=((3)/(u-2))+((4u)/(u+2))

Simple and best practice solution for ((3u^2)/(u^2-4))=((3)/(u-2))+((4u)/(u+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 ((3u^2)/(u^2-4))=((3)/(u-2))+((4u)/(u+2)) equation: 


D( u )

u^2-4 = 0

u-2 = 0

u+2 = 0

u^2-4 = 0

u^2-4 = 0

1*u^2 = 4 // : 1

u^2 = 4

u^2 = 4 // ^ 1/2

abs(u) = 2

u = 2 or u = -2

u-2 = 0

u-2 = 0

u-2 = 0 // + 2

u = 2

u+2 = 0

u+2 = 0

u+2 = 0 // - 2

u = -2

u in (-oo:-2) U (-2:2) U (2:+oo)

(3*u^2)/(u^2-4) = 3/(u-2)+(4*u)/(u+2) // - 3/(u-2)+(4*u)/(u+2)

(3*u^2)/(u^2-4)-(3/(u-2))-((4*u)/(u+2)) = 0

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

(3*u^2)/(u^2-4)-3/(u-2)+(-4*u)/(u+2) = 0

(3*u^2*(u-2)*(u+2))/((u^2-4)*(u-2)*(u+2))+(-3*(u^2-4)*(u+2))/((u^2-4)*(u-2)*(u+2))+(-4*u*(u^2-4)*(u-2))/((u^2-4)*(u-2)*(u+2)) = 0

3*u^2*(u-2)*(u+2)-3*(u^2-4)*(u+2)-4*u*(u^2-4)*(u-2) = 0

3*u^4-4*u^4-3*u^3+8*u^3-18*u^2+16*u^2+12*u-32*u+24 = 0

5*u^3-u^4-2*u^2-20*u+24 = 0

5*u^3-u^4-2*u^2-20*u+24 = 0

5*u^3-u^4-2*u^2-20*u+24 = 0

{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 24, -24 }

1

u = 1

5*u^3-u^4-2*u^2-20*u+24 = 6

1

-1

u = -1

5*u^3-u^4-2*u^2-20*u+24 = 36

-1

2

u = 2

5*u^3-u^4-2*u^2-20*u+24 = 0

2

u-2

3*u^2-u^3+4*u-12

5*u^3-u^4-2*u^2-20*u+24

u-2

u^4-2*u^3

3*u^3-2*u^2-20*u+24

6*u^2-3*u^3

4*u^2-20*u+24

8*u-4*u^2

24-12*u

12*u-24

0

3*u^2-u^3+4*u-12 = 0

{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 12, -12 }

1

u = 1

3*u^2-u^3+4*u-12 = -6

1

-1

u = -1

3*u^2-u^3+4*u-12 = -12

-1

2

u = 2

3*u^2-u^3+4*u-12 = 0

2

u-2

u-u^2+6

3*u^2-u^3+4*u-12

u-2

u^3-2*u^2

u^2+4*u-12

2*u-u^2

6*u-12

12-6*u

0

u-u^2+6 = 0

DELTA = 1^2-(-1*4*6)

DELTA = 25

DELTA > 0

u = (25^(1/2)-1)/(-1*2) or u = (-25^(1/2)-1)/(-1*2)

u = -2 or u = 3

u in { -2, 3, 2, 2} 

(u+2)*(u-3)*(u-2)^2 = 0

((u+2)*(u-3)*(u-2)^2)/((u^2-4)*(u-2)*(u+2)) = 0

((u+2)*(u-3)*(u-2)^2)/((u^2-4)*(u-2)*(u+2)) = 0 // * (u^2-4)*(u-2)*(u+2)

(u+2)*(u-3)*(u-2)^2 = 0

( u+2 )

u+2 = 0 // - 2

u = -2

( u-2 )

u-2 = 0 // + 2

u = 2

( u-3 )

u-3 = 0 // + 3

u = 3

u in { -2} 

u in { 2} 

u = 3

See similar equations:

| -15=p+6 | | (4n^4/3m^2n7)^2 | | x-(-7)=10 | | ((7)/(y-4))+((y)/(y-2))=((26)/(y^2-6y+8)) | | x-9.3=4.2 | | 19=x-4.2 | | 2r-5+3r+7= | | 10x-14x=36 | | N/2=n+5/8 | | 5(3+2x)-3=62 | | 25x+5y=444 | | 25y+5y=444 | | w/9=g | | 93s=8 | | 4(x+4)=2(x+3) | | 6q-2q+4q= | | (6*11)= | | 2(5x-4)=3(2x+4) | | x+130+90=360 | | Y=9mx+6b | | y=-1/6x | | (16a^2b^6)^-1/2 | | x+2=-(3x+3) | | 0=5-4x^3 | | 2x^4-22x^2+41=0 | | f(x)=5-4x^3 | | (2z)0= | | 5-4x^3=0 | | 17b+3=422 | | 6-y+z=a | | 7x+-6x=10 | | -5.7(2y+5)-2.7(4y-6)= |

Equations solver categories