z^2-9z+20/x^2+z-30

Simple and best practice solution for z^2-9z+20/x^2+z-30 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 z^2-9z+20/x^2+z-30 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

20/(x^2)+z^2-(9*z)+z-30 = 0

20/(x^2)+z^2-9*z+z-30 = 0

20*x^-2 = -(z^2-8*z-30) // : 20

x^-2 = (30-z^2-(-8*z))/20

-2 < 0

1/(x^2) = (30-z^2-(-8*z))/20 // * x^2

1 = x^2*((30-z^2-(-8*z))/20) // : (30-z^2-(-8*z))/20

20*(8*z-z^2+30)^-1 = x^2

x^2 = 20*(8*z-z^2+30)^-1 // ^ 1/2

abs(x) = 2*5^(1/2)*(8*z-z^2+30)^(-1/2)

x = 2*5^(1/2)*(8*z-z^2+30)^(-1/2) or x = -(2*5^(1/2)*(8*z-z^2+30)^(-1/2))

x in { 2*5^(1/2)*(8*z-z^2+30)^(-1/2), -(2*5^(1/2)*(8*z-z^2+30)^(-1/2)) }

See similar equations:

| r(x)=A-3X | | 11x^2-17x-20=0 | | 6x+3=4x+12 | | x/x+2=6+3/x+2 | | 3(x+5)=3(5+x) | | (x-2)(x-2)=24 | | x+2(-1/3)=0 | | t+9(20)=140 | | x^2-3y=9 | | (-2^-2)/(4^-1) | | x+8=3+x+7 | | (1,3)(-2,-3)(5,11)= | | x^2-4y^2=60 | | (5x+6)(x^2+3x-4)=0 | | -6=7/3n | | 36x-60=24 | | 7/8(-9) | | 12(x-20)=48 | | (11/7)/(7/2) | | y-(-6)=(7/8)(x-9) | | 25y^3+2=y+50y^2 | | 24/1080 | | 25y^3+2=y-50y^2 | | -13=m/5 | | 8x-4x^2=0 | | x^6-3x^4+x^2-3=0 | | 14g^2-33g-5=0 | | 2(y+1)=-3(y+1) | | 36m^2+12m+1=0 | | 8x+-11=-2(x-2)+3 | | 6x-7=77-x | | -2x^3+16=0 |

Equations solver categories