Test the equation x^2 - y^2 = 25 for summetry..?

Question

please give details and the answer..

i am in deep trouble :(

Answer 1

Graph it-you'll see if it's symmetrical. It's a hyperbola. From there, the answer is easy!

http://www.webgraphing.com/multiple_plotting_advanced.jsp

Answer 2

If you factorize the equation, you will get this:

(x + y) * (x - y) = 25

To test for symmetry, change x to -x
Then change y to -y
Then change x,y to -x,-y

If the equation is the same, you have symmetry

a) (-x + y) * (-x - y) = 25
x^2 + xy -xy - y^2 = 25
x^2 - y^2 = 25
YES

b) (x + -y) * (x - -y) = 25
(x - y) * (x + y) = 25
x^2 - xy +xy - y^2 = 25
x^2 - y^2 = 25
YES

c) (-x + -y) * (-x - -y) = 25
(-x - y) * (-x + y) = 25
x^2 + xy -xy - y^2 = 25
x^2 - y^2 = 25
YES

There is symmetry,,,

Answer 3

69, but i could be wrong