1+1/x=90/x^2

Simple and best practice solution for 1+1/x=90/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+1/x=90/x^2 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)

1/x+1 = 90/(x^2) // - 90/(x^2)

1/x-(90/(x^2))+1 = 0

1/x-90*x^-2+1 = 0

x^-1-90*x^-2+1 = 0

t_1 = x^-1

1*t_1^1-90*t_1^2+1 = 0

t_1-90*t_1^2+1 = 0

DELTA = 1^2-(-90*1*4)

DELTA = 361

DELTA > 0

t_1 = (361^(1/2)-1)/(-90*2) or t_1 = (-361^(1/2)-1)/(-90*2)

t_1 = -1/10 or t_1 = 1/9

t_1 = -1/10

x^-1+1/10 = 0

1*x^-1 = -1/10 // : 1

x^-1 = -1/10

-1 < 0

1/(x^1) = -1/10 // * x^1

1 = -1/10*x^1 // : -1/10

-10 = x^1

x = -10

t_1 = 1/9

x^-1-1/9 = 0

1*x^-1 = 1/9 // : 1

x^-1 = 1/9

-1 < 0

1/(x^1) = 1/9 // * x^1

1 = 1/9*x^1 // : 1/9

9 = x^1

x = 9

x in { -10, 9 }

See similar equations:

| 5.32x^2+3.31x-1.35=0 | | D+1.0=9.2 | | -6-5x=12+10 | | x/2+3,5=4x/3-7 | | (9x)(3x+12)=180 | | 24=9r-3r | | 15x^4-45x^3=0 | | -7-5x=9x+15 | | 6x+8=120-10x | | 8x=1/5 | | 2t+5+3t-4t=2+3 | | -7x-8y=19 | | -5/9m=-1/4 | | -20=5/13x | | -20x=5/13x | | 10p+6=4p+22 | | 3(2x+9)=-33+12 | | 20x+11/12-19x=5/24 | | -4y-2=-3y-9 | | -43=x | | -(-2a+2)=-6(3+9a) | | t-15=19 | | 25+5-10(y+4)= | | 4a+12=4a+6a | | 2x+5=3x+-1 | | 7(8+3x)=19 | | 8t+3(3t-2)=-5t-10 | | 5-2x/7=9/14 | | 5(3x-6)-3(x+1)-19x= | | 1/8+y=-7/16 | | -96=z+-83 | | 3x-3=21x+9 |

Equations solver categories