y^2-x^2=r^2

Simple and best practice solution for y^2-x^2=r^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 y^2-x^2=r^2 equation:


Simplifying
y2 + -1x2 = r2

Reorder the terms:
-1x2 + y2 = r2

Solving
-1x2 + y2 = r2

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.
-1x2 + y2 + -1y2 = r2 + -1y2

Combine like terms: y2 + -1y2 = 0
-1x2 + 0 = r2 + -1y2
-1x2 = r2 + -1y2

Divide each side by '-1'.
x2 = -1r2 + y2

Simplifying
x2 = -1r2 + y2

Reorder the terms:
r2 + x2 + -1y2 = -1r2 + y2 + r2 + -1y2

Reorder the terms:
r2 + x2 + -1y2 = -1r2 + r2 + y2 + -1y2

Combine like terms: -1r2 + r2 = 0
r2 + x2 + -1y2 = 0 + y2 + -1y2
r2 + x2 + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
r2 + x2 + -1y2 = 0

The solution to this equation could not be determined.

See similar equations:

| x^-6/x^7 | | 0.125(6+z)=2.5 | | -5+3m=-5 | | 240.00+0.15m=342.00 | | 17j-16j-1=14 | | 4t-7v=11 | | 0.18(y-2)+0.10y=0.08y-0.7 | | 3(4x+2)-14=2(3-4x) | | 5x+2=15x-82 | | 2x-x+8+5x-7= | | 14x+21=7 | | 0.125(6+2)=2.50 | | 2+7x=21 | | -2b+3=7 | | 5-y/3=-2 | | 10t+4v=13 | | 3x^2-5z-2=0 | | 2y+4=(-16x/5)+6-2y | | c=x+b | | 4x+9-3x=15 | | 4-3n=31 | | 7x-65=2 | | 8x+5=10x-2 | | -0.75q-2.75p=1.5 | | x-18=y | | 159-7x=29x+23 | | -x+53=.5x+39 | | -x^2+16=9X-6 | | 20=2(j-10) | | 6x+61=11x-11 | | 11p+3q=6 | | -5+2x=-7 |

Equations solver categories