(1/(x-4))-(25/(x^2))

Simple and best practice solution for (1/(x-4))-(25/(x^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 (1/(x-4))-(25/(x^2)) equation: 


D( x )

x-4 = 0

x^2 = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:4) U (4:+oo)

1/(x-4)-(25/(x^2)) = 0

1/(x-4)-25*x^-2 = 0

1/(x-4)-25/(x^2) = 0

(1*x^2)/(x^2*(x-4))+(-25*(x-4))/(x^2*(x-4)) = 0

1*x^2-25*(x-4) = 0

x^2-25*x+100 = 0

x^2-25*x+100 = 0

x^2-25*x+100 = 0

DELTA = (-25)^2-(1*4*100)

DELTA = 225

DELTA > 0

x = (225^(1/2)+25)/(1*2) or x = (25-225^(1/2))/(1*2)

x = 20 or x = 5

(x-5)*(x-20) = 0

((x-5)*(x-20))/(x^2*(x-4)) = 0

((x-5)*(x-20))/(x^2*(x-4)) = 0 // * x^2*(x-4)

(x-5)*(x-20) = 0

( x-20 )

x-20 = 0 // + 20

x = 20

( x-5 )

x-5 = 0 // + 5

x = 5

x in { 20, 5 }

See similar equations:

| 5x-2y-9=0 | | 4x^2+4y^2-20x+4y-55=0 | | 4x^2+4y^2-20+4y-55=0 | | 2x+7=2x-1 | | -x(2x+1)=-2x^2+7 | | x/2-x/3=7/6 | | 15x/999*12x*98=12 | | 3x-1/2=3/7-4x | | 9(23x/34)*34(21x/12)=134 | | 8(2x-5)-6(3x-7)=1 | | x+(x-125)=3(x-125)-500 | | X^2-16x/63= | | -x+3y+(k-3)z=0 | | 6s^2-6t^2= | | (3y+5)-(y+2)= | | 4(4y-5)-(4y+4)= | | 2p=1582-3q | | x/(x^2) | | 32c^2+56c= | | (12t+5)+(3t-7)= | | w^2+8w+6zw+48z= | | 4x-11=7-8x | | 5p^2-24p-5= | | x^2-440=0 | | 9p^2-4= | | 3/4h=12 | | 15p^2-7p-2= | | x/9=5/27 | | p^2+2p-63= | | p^2+13p+36= | | 3x+15=84 | | 4c^2-23c-35= |

Equations solver categories