(X/x+4)+(4/x-4)=(32/x2-16)

Simple and best practice solution for (X/x+4)+(4/x-4)=(32/x2-16) 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 (X/x+4)+(4/x-4)=(32/x2-16) equation: 


D( x )

x = 0

x^2 = 0

x = 0

x = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

X/x+4/x-4+4 = 32/(x^2)-16 // - 32/(x^2)-16

X/x+4/x-(32/(x^2))-4+4+16 = 0

X/x+4/x-32*x^-2-4+4+16 = 0

X*x^-1+4*x^-1-32*x^-2+16 = 0

t_1 = x^-1

X*t_1^1-32*t_1^2+4*t_1^1+16 = 0

4*t_1-32*t_1^2+16 = 0

DELTA = 4^2-(-32*4*16)

DELTA = 2064

DELTA > 0

t_1 = (2064^(1/2)-4)/(-32*2) or t_1 = (-2064^(1/2)-4)/(-32*2)

t_1 = (4*129^(1/2)-4)/(-64) or t_1 = (-4*129^(1/2)-4)/(-64)

t_1 = (4*129^(1/2)-4)/(-64)

x^-1-((4*129^(1/2)-4)/(-64)) = 0

1*x^-1 = (4*129^(1/2)-4)/(-64) // : 1

x^-1 = (4*129^(1/2)-4)/(-64)

-1 < 0

1/(x^1) = (4*129^(1/2)-4)/(-64) // * x^1

1 = ((4*129^(1/2)-4)/(-64))*x^1 // : (4*129^(1/2)-4)/(-64)

-64*(4*129^(1/2)-4)^-1 = x^1

x = -64*(4*129^(1/2)-4)^-1

t_1 = (-4*129^(1/2)-4)/(-64)

x^-1-((-4*129^(1/2)-4)/(-64)) = 0

1*x^-1 = (-4*129^(1/2)-4)/(-64) // : 1

x^-1 = (-4*129^(1/2)-4)/(-64)

-1 < 0

1/(x^1) = (-4*129^(1/2)-4)/(-64) // * x^1

1 = ((-4*129^(1/2)-4)/(-64))*x^1 // : (-4*129^(1/2)-4)/(-64)

-64*(-4*129^(1/2)-4)^-1 = x^1

x = -64*(-4*129^(1/2)-4)^-1

x in { -64*(4*129^(1/2)-4)^-1, -64*(-4*129^(1/2)-4)^-1 }

See similar equations:

| 65+x=125 | | y=x+3graph | | 8x+5x=13x | | 45x+11=20x-54 | | 7/8y=1/3 | | 7+x-15-2/3 | | 96x-14= | | 1/7x=-3 | | 4[x-3]=3[2x+5] | | 25+25=50 | | x+1/14x=5 | | x+1/5x=14 | | x+1/5=14 | | 5(9x+2)=325 | | x+1/14=5 | | 17h+3h+84h= | | 11x-7[x-4]=0 | | (-2-32)5/9=c | | 5x+9x+6x= | | 3/8=x/12 | | 5y+8y=8x | | 5(6x+7)/3x=3 | | 7(6x+12)=546 | | 2x+1-5x=7x-3+10x-1 | | 3+9a-6a= | | -2x-7=2-7 | | 3+9a+6a= | | 72/24 | | 7(10x+5)=525 | | y=-16x^2+40x+4 | | x/6-144 | | 2t+4/3+1/2t=1/4t-7/3 |

Equations solver categories