(1/(x-1))+(x/(x+16))=(17/(x^2+15x-16))

Simple and best practice solution for (1/(x-1))+(x/(x+16))=(17/(x^2+15x-16)) 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 (1/(x-1))+(x/(x+16))=(17/(x^2+15x-16)) equation: 


D( x )

x+16 = 0

x-1 = 0

x^2+15*x-16 = 0

x+16 = 0

x+16 = 0

x+16 = 0 // - 16

x = -16

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x^2+15*x-16 = 0

x^2+15*x-16 = 0

x^2+15*x-16 = 0

DELTA = 15^2-(-16*1*4)

DELTA = 289

DELTA > 0

x = (289^(1/2)-15)/(1*2) or x = (-289^(1/2)-15)/(1*2)

x = 1 or x = -16

x in (-oo:-16) U (-16:1) U (1:+oo)

1/(x-1)+x/(x+16) = 17/(x^2+15*x-16) // - 17/(x^2+15*x-16)

1/(x-1)+x/(x+16)-(17/(x^2+15*x-16)) = 0

1/(x-1)+x/(x+16)-17*(x^2+15*x-16)^-1 = 0

1/(x-1)+x/(x+16)-17/(x^2+15*x-16) = 0

x^2+15*x-16 = 0

x^2+15*x-16 = 0

x^2+15*x-16 = 0

DELTA = 15^2-(-16*1*4)

DELTA = 289

DELTA > 0

x = (289^(1/2)-15)/(1*2) or x = (-289^(1/2)-15)/(1*2)

x = 1 or x = -16

(x+16)*(x-1) = 0

1/(x-1)+x/(x+16)-17/((x+16)*(x-1)) = 0

(1*(x+16))/((x-1)*(x+16))+(x*(x-1))/((x-1)*(x+16))-17/((x-1)*(x+16)) = 0

1*(x+16)+x*(x-1)-17 = 0

x^2-17+16 = 0

x^2-1 = 0

(x^2-1)/((x-1)*(x+16)) = 0

(x^2-1)/((x-1)*(x+16)) = 0 // * (x-1)*(x+16)

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 { 1} 

x = -1

See similar equations:

| Y/2-4=6 | | 8x-32=-15x | | 211=x-y+45 | | 30x=-4x-3 | | 5-b+7=-6b-12 | | 6x-12-4x=2x+3 | | (x-5)^2/3=125 | | 15x=8x+56 | | 211-45=y+45 | | 24x=9x-45 | | 8w^2(8w+7w^4)= | | sqrt(3)*sqrt(8)*sqrt(6)=0 | | x^2-25-4x-20-21=0 | | 5/n-12=-1/n | | 3x-18=-10+x | | 2t^2+6t-108=0 | | 13u^2+7v+4u^2= | | 24x=2x+15 | | 211=y+45 | | p=c/1+k | | 2(r+4)/2=4 | | x2/3-x1/3-6=0 | | 100/(5-x)=20 | | x+20=4x+5 | | 4/3=x-3/x | | 2x+9+12= | | x^2-169x+1600=0 | | 3x+.66x=44000 | | 3*7-6/3=15/3 | | 5250-552=24x | | 5x=4x-16 | | 5250=552-24x |

Equations solver categories