x^2+y^2-z^2=1

Simple and best practice solution for x^2+y^2-z^2=1 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^2+y^2-z^2=1 equation:


Simplifying
x2 + y2 + -1z2 = 1

Solving
x2 + y2 + -1z2 = 1

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1y2' to each side of the equation.
x2 + y2 + -1y2 + -1z2 = 1 + -1y2

Combine like terms: y2 + -1y2 = 0
x2 + 0 + -1z2 = 1 + -1y2
x2 + -1z2 = 1 + -1y2

Add 'z2' to each side of the equation.
x2 + -1z2 + z2 = 1 + -1y2 + z2

Combine like terms: -1z2 + z2 = 0
x2 + 0 = 1 + -1y2 + z2
x2 = 1 + -1y2 + z2

Simplifying
x2 = 1 + -1y2 + z2

Reorder the terms:
-1 + x2 + y2 + -1z2 = 1 + -1y2 + z2 + -1 + y2 + -1z2

Reorder the terms:
-1 + x2 + y2 + -1z2 = 1 + -1 + -1y2 + y2 + z2 + -1z2

Combine like terms: 1 + -1 = 0
-1 + x2 + y2 + -1z2 = 0 + -1y2 + y2 + z2 + -1z2
-1 + x2 + y2 + -1z2 = -1y2 + y2 + z2 + -1z2

Combine like terms: -1y2 + y2 = 0
-1 + x2 + y2 + -1z2 = 0 + z2 + -1z2
-1 + x2 + y2 + -1z2 = z2 + -1z2

Combine like terms: z2 + -1z2 = 0
-1 + x2 + y2 + -1z2 = 0

The solution to this equation could not be determined.

See similar equations:

| 1/5=25/x | | (X^2)-16)/2x)(6/((3x)-(12 | | 2/3b=8/7 | | 2/3b=8/8 | | 4AB+5AB= | | x^3=240 | | -14m-15=95 | | 2(x-1)-(y-7)=13 | | x^2+y^2=2z | | -4m-15=95 | | (6a+3b-5)+(8b-6)= | | 0=-32x^2+2025x+162000 | | 17-8+x=8+8-1 | | 9y-3x+6=0 | | a=1/2bc | | t=-8 | | 56=6 | | 0=-32x^2+2025x+364500 | | X/x=1.65 | | 2(x-3)=9-5(2x+1) | | 12x-(3/2)x^2=0 | | 7x=3/6 | | 0.125x+8=-4 | | 12x-1.5x^2=0 | | 13-16/(5-3)*3= | | 4a-3/2a-3 | | 3(x+11)-1=3x+2 | | 1/2_[-2] | | 4-(-6)/(-5) | | 4.5z=4.5-6.25+6.25 | | 4x+3(x-3)=3x+x-12 | | 1+5+(-4x)+3x+7y+2y= |

Equations solver categories