SOLUTION: x + y + z = 30 xyz = 640. find x, y and z

Click here to see ALL problems on Equations

Question 1123156: x + y + z = 30
xyz = 640.
find x, y and z
Found 2 solutions by ikleyn, ankor@dixie-net.com:
Answer by ikleyn(52778) (Show Source):
You can put this solution on YOUR website!
.
x + y + z = 30
xyz = 640.
find x, y and z
~~~~~~~~~~~~~~~~~~~~~~~~~~

Actually, there are INFINITELY MANY REAL SOLUTIONS for this system of two equations in three unknown.

Would you like I list all of them here ?

I do not think you want it.

Then descend on us and formulate clearly and explicitly what you need.

Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
x + y + z = 30
xyz = 640.
find x, y and z
:
Use the try and see method
Prime factor 640, 2*2*2*2*2*2*2*5
We know all the factors are less than 30
16 * 4 * 10 seems to work
x = 4
y = 10
z = 16