SOLUTION: C - 5G =-1 C^2 + G^2=4

Algebra ->  Linear-equations -> SOLUTION: C - 5G =-1 C^2 + G^2=4      Log On


   

Question 1067916: C - 5G =-1
C^2 + G^2=4
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
Choosing lower-case variables instead,


c=5g-1
-
%285g-1%29%5E2%2Bg%5E2=4
25g%5E2-10g%2B1%2Bg%5E2-4=0
26g%5E2-10g-3=0

g=%2810%2B-+sqrt%2810%5E2%2B4%2A26%2A3%29%29%2F%282%2A26%29

g=%2810%2B-+sqrt%28412%29%29%2F%282%2A26%29

g=%2810%2B-+2%2Asqrt%28103%29%29%2F%282%2A26%29

-
highlight%28cross%28g=%2810%2B-+sqrt%28103%29%29%2F13%29%29

highlight%28g=%285%2B-+sqrt%28103%29%29%2F26%29
Use this to find the corresponding values for c.

Answer by ikleyn(52760) About Me  (Show Source):