(u-3)/(u-5)=(u+2)/(u-7)+1

Simple and best practice solution for (u-3)/(u-5)=(u+2)/(u-7)+1 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 (u-3)/(u-5)=(u+2)/(u-7)+1 equation: 


D( u )

u-5 = 0

u-7 = 0

u-5 = 0

u-5 = 0

u-5 = 0 // + 5

u = 5

u-7 = 0

u-7 = 0

u-7 = 0 // + 7

u = 7

u in (-oo:5) U (5:7) U (7:+oo)

(u-3)/(u-5) = (u+2)/(u-7)+1 // - (u+2)/(u-7)+1

(u-3)/(u-5)-((u+2)/(u-7))-1 = 0

(u-3)/(u-5)+(-1*(u+2))/(u-7)-1 = 0

((u-3)*(u-7))/((u-5)*(u-7))+(-1*(u+2)*(u-5))/((u-5)*(u-7))+(-1*(u-5)*(u-7))/((u-5)*(u-7)) = 0

(u-3)*(u-7)-1*(u+2)*(u-5)-1*(u-5)*(u-7) = 0

12*u-u^2-7*u-35+31 = 0

5*u-u^2-4 = 0

5*u-u^2-4 = 0

5*u-u^2-4 = 0

DELTA = 5^2-(-4*(-1)*4)

DELTA = 9

DELTA > 0

u = (9^(1/2)-5)/(-1*2) or u = (-9^(1/2)-5)/(-1*2)

u = 1 or u = 4

(u-1)*(u-4) = 0

((u-1)*(u-4))/((u-5)*(u-7)) = 0

((u-1)*(u-4))/((u-5)*(u-7)) = 0 // * (u-5)*(u-7)

(u-1)*(u-4) = 0

( u-1 )

u-1 = 0 // + 1

u = 1

( u-4 )

u-4 = 0 // + 4

u = 4

u in { 1, 4 }

See similar equations:

| 401x+11y=134 | | 9.63.2= | | W^2+10W-28=0 | | 4x=24-8x | | 6y^2-4y-3=0 | | -7.53= | | 5x^3-3x^2= | | 20y^2=53y+450 | | 158/2 | | 2x(5-x)=0 | | 8(-1.6)= | | 4y^2+32y+55=0 | | -6x^3-(-5x^2)= | | 1-(6c+7d)/(9c)+(3c+d)/(3c) | | 2(x+3)=2x+8 | | 5(x^2+4)=100 | | k/3+6=33 | | -7(7v+5)+7=315 | | -4(y-3)(-y+6)=0 | | 2x-3-(x+1)=-[x-3(x+2)]-(x+4) | | 14=2(17x+7) | | 3(6y-7)=15 | | (5-w)(4w+1)=0 | | (u+1)(u-5)=0 | | -28=2m-8 | | 3(6y-5)=-87 | | (x-3).5=20 | | (x+3).2=14 | | 8u+2(u-10)=o | | 2(x^2-5)=40 | | 16d+21d+17d=200 | | 4(2x-1)=-7(x+3) |

Equations solver categories