5/y+5-9/y-5=10/y^2-25

Simple and best practice solution for 5/y+5-9/y-5=10/y^2-25 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 5/y+5-9/y-5=10/y^2-25 equation: 


D( y )

y = 0

y^2 = 0

y = 0

y = 0

y^2 = 0

y^2 = 0

1*y^2 = 0 // : 1

y^2 = 0

y = 0

y in (-oo:0) U (0:+oo)

5/y-(9/y)-5+5 = 10/(y^2)-25 // - 10/(y^2)-25

5/y-(9/y)-(10/(y^2))-5+5+25 = 0

5/y-9*y^-1-10*y^-2-5+5+25 = 0

25-4*y^-1-10*y^-2 = 0

t_1 = y^-1

25-10*t_1^2-4*t_1^1 = 0

25-10*t_1^2-4*t_1 = 0

DELTA = (-4)^2-(-10*4*25)

DELTA = 1016

DELTA > 0

t_1 = (1016^(1/2)+4)/(-10*2) or t_1 = (4-1016^(1/2))/(-10*2)

t_1 = (2*254^(1/2)+4)/(-20) or t_1 = (4-2*254^(1/2))/(-20)

t_1 = (2*254^(1/2)+4)/(-20)

y^-1-((2*254^(1/2)+4)/(-20)) = 0

1*y^-1 = (2*254^(1/2)+4)/(-20) // : 1

y^-1 = (2*254^(1/2)+4)/(-20)

-1 < 0

1/(y^1) = (2*254^(1/2)+4)/(-20) // * y^1

1 = ((2*254^(1/2)+4)/(-20))*y^1 // : (2*254^(1/2)+4)/(-20)

-20*(2*254^(1/2)+4)^-1 = y^1

y = -20*(2*254^(1/2)+4)^-1

t_1 = (4-2*254^(1/2))/(-20)

y^-1-((4-2*254^(1/2))/(-20)) = 0

1*y^-1 = (4-2*254^(1/2))/(-20) // : 1

y^-1 = (4-2*254^(1/2))/(-20)

-1 < 0

1/(y^1) = (4-2*254^(1/2))/(-20) // * y^1

1 = ((4-2*254^(1/2))/(-20))*y^1 // : (4-2*254^(1/2))/(-20)

-20*(4-2*254^(1/2))^-1 = y^1

y = -20*(4-2*254^(1/2))^-1

y in { -20*(2*254^(1/2)+4)^-1, -20*(4-2*254^(1/2))^-1 }

See similar equations:

| 6x^2+9x-3=102 | | 6=x-3+3 | | -8+5+1+2= | | 5x+5=10x+30 | | 2r+8/6-2r-8/2 | | x-2+1=5 | | 2+3(-2x+1)-4x=-9x-2 | | X(2x+3)=35 | | j+6=15 | | -14x+39= | | -10y-7=-8+6y | | -15=3(c-2)-8c | | 131/5=p | | xyv=17x+5 | | 0.3x-0.75= | | (-11x+37)+(-3x-7)= | | 4t+14=5/6t+7 | | v+8=-135678 | | 13-5x=19-4x | | 3x-16=-2x | | x--3=-5 | | x+13=x-9 | | 9a+2b+5c=7 | | 15=9-5g | | -8w-1=9+3w | | -x+-6=-3y | | (3/4)(-12) | | -3/n=-8 | | 45c+18b+81a= | | x^2+8=1.732050808 | | 3a=4a-14 | | (5x^7/10x^-3)^-3 |

Equations solver categories