1/x^2-1/x=9

Simple and best practice solution for 1/x^2-1/x=9 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^2-1/x=9 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^2)-(1/x) = 9 // - 9

1/(x^2)-(1/x)-9 = 0

1/(x^2)-x^-1-9 = 0

x^-2-x^-1-9 = 0

t_1 = x^-1

1*t_1^2-1*t_1^1-9 = 0

t_1^2-t_1-9 = 0

DELTA = (-1)^2-(-9*1*4)

DELTA = 37

DELTA > 0

t_1 = (37^(1/2)+1)/(1*2) or t_1 = (1-37^(1/2))/(1*2)

t_1 = (37^(1/2)+1)/2 or t_1 = (1-37^(1/2))/2

t_1 = (1-37^(1/2))/2

x^-1-((1-37^(1/2))/2) = 0

1*x^-1 = (1-37^(1/2))/2 // : 1

x^-1 = (1-37^(1/2))/2

-1 < 0

1/(x^1) = (1-37^(1/2))/2 // * x^1

1 = ((1-37^(1/2))/2)*x^1 // : (1-37^(1/2))/2

2*(1-37^(1/2))^-1 = x^1

x = 2*(1-37^(1/2))^-1

t_1 = (37^(1/2)+1)/2

x^-1-((37^(1/2)+1)/2) = 0

1*x^-1 = (37^(1/2)+1)/2 // : 1

x^-1 = (37^(1/2)+1)/2

-1 < 0

1/(x^1) = (37^(1/2)+1)/2 // * x^1

1 = ((37^(1/2)+1)/2)*x^1 // : (37^(1/2)+1)/2

2*(37^(1/2)+1)^-1 = x^1

x = 2*(37^(1/2)+1)^-1

x in { 2*(1-37^(1/2))^-1, 2*(37^(1/2)+1)^-1 }

See similar equations:

| (x/4)(4) | | y=ln(3x^3+4x) | | 5x/6c*6c/25x | | 20a^2-70a=0 | | Log^3(5x+1)=4 | | 5x+8=-2(x+3) | | 7v^2-49=-35v | | 4x+10=6x-20 | | Y=z/10 | | 3x+2y=85.50 | | 16t^2+4t-30=0 | | 14/8=m/20 | | 86+2x=180 | | -7v-23=3(v-9) | | m*5=13 | | 9x+4=-6 | | -7c-23=3(c+9) | | 7b^2+33b-10=0 | | x^5-12x^4+36x^3=0 | | 16t^2+4t-12=0 | | y=2*sin(2*pi*x) | | 38=4(y+8)-7y | | 6x+(2x-8)= | | 16x^2+4t-12=0 | | 10x-6=9x+8 | | p(x)=x^3+25x^2+103x-561 | | -3(-8w+5)-4w=2(w-2)-7 | | 7h-13=31 | | 7a+12=5a-18 | | 350=70x | | 22+x-5=180 | | -7(w-5)=-3w+7 |

Equations solver categories