SOLUTION: SQUARING AND SUBSTITUTION 4M+ 8SQUARE ROOT M -5=0 4M PLUS 8 SQUARE ROOT SIGN WITH M UNDER IT -5=0 solve thanks

Algebra ->  Square-cubic-other-roots -> SOLUTION: SQUARING AND SUBSTITUTION 4M+ 8SQUARE ROOT M -5=0 4M PLUS 8 SQUARE ROOT SIGN WITH M UNDER IT -5=0 solve thanks      Log On


   

Question 100596: SQUARING AND SUBSTITUTION
4M+ 8SQUARE ROOT M -5=0
4M PLUS 8 SQUARE ROOT SIGN WITH M UNDER IT -5=0
solve





thanks
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
4M-5=-8sqrt(M) ... squaring gives 16M^2-40M+25=64M

16M^2-104M+25=0 ... M=%28104+%2B-+sqrt%28%28-104%29%5E2-4%2A16%2A25%29%29%2F%282%2A16%29 ... M=%28104+%2B-+sqrt%289216%29%29%2F32

M=25/4 and M=1/4 ... sqrt can be +-