If x, y and z are integers, 3
x+4
y=5
z is satisfied for x=y=z=2.
Are there any other solutions?
5 point 20
10 for T=0 to 1111
20 for X=0 to T
30 Y=T-X
40 P=3^X+4^Y
50 Z=log(P)/log(5)
60 Z=int(Z+0.5)
65 P2=int(5^Z+0.5)
70 if P2=P then print X,Y,Z
90 next
100 next
finds only
0 1 1
2 2 2
as values for x, y and z. That's checking all sets of values of x and y adding to 1111 or less.
Edited on September 2, 2005, 4:23 pm
|
|
Posted by Charlie
on 2005-09-02 16:17:57 |
computer search
