(6/x^2)-(43/x)=15

Simple and best practice solution for (6/x^2)-(43/x)=15 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 (6/x^2)-(43/x)=15 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)

6/(x^2)-(43/x) = 15 // - 15

6/(x^2)-(43/x)-15 = 0

6/(x^2)-43*x^-1-15 = 0

6*x^-2-43*x^-1-15 = 0

t_1 = x^-1

6*t_1^2-43*t_1^1-15 = 0

6*t_1^2-43*t_1-15 = 0

DELTA = (-43)^2-(-15*4*6)

DELTA = 2209

DELTA > 0

t_1 = (2209^(1/2)+43)/(2*6) or t_1 = (43-2209^(1/2))/(2*6)

t_1 = 15/2 or t_1 = -1/3

t_1 = -1/3

x^-1+1/3 = 0

1*x^-1 = -1/3 // : 1

x^-1 = -1/3

-1 < 0

1/(x^1) = -1/3 // * x^1

1 = -1/3*x^1 // : -1/3

-3 = x^1

x = -3

t_1 = 15/2

x^-1-15/2 = 0

1*x^-1 = 15/2 // : 1

x^-1 = 15/2

-1 < 0

1/(x^1) = 15/2 // * x^1

1 = 15/2*x^1 // : 15/2

2/15 = x^1

x = 2/15

x in { -3, 2/15 }

See similar equations:

| 14-x=-27 | | 7000=(3.5)(.5)(X) | | ((3x+1)/(x-2))+(4/x)=(-8/(x^2-2x)) | | (2/(x^2+2x-8))+(5/(x^2+x-6))=(1/(x^2+7x+12)) | | ((2x+4)/2)-(3x/(x-4))=x | | .07xX=114 | | x/4+x/3=x-100 | | 10y+20=4y+26 | | 10x+8=5x+(-3) | | x/2+1=x/5+1/4 | | 3x^2+3=510 | | 16-4(5-x)=9 | | n^2=-5n+6 | | (3x-12)(x-7)=y | | 5x^2-29x-2=0 | | y+3=-1/4x+(1/4)*5 | | y+7=-1/2x+(1/2)*2 | | 6y=10-10x | | 60+5y-13=17y-9-4y | | y+7=-1/2+(1/2)*2 | | -(w+3)=-3w+10 | | x+17+3x=-23-3x-30 | | 7m^2-61m+40=0 | | 3n-1=245 | | 2(1-x)+1=3(x-3)-x | | x^3-5x^2-8x-48=0 | | x+7+3x=-23-3x-30 | | 11y^2-20y+7=0 | | y+6=-9/8+(9/8)*2 | | 3(x+4)+1=2(2x+7) | | x^2+36y=0 | | 14X-Y=56 |

Equations solver categories