SOLUTION: Can you help me with this? Thanks :) a, b, c are positive real numbers that satisfy the equation below: ab + c^2 = 18 a^2 + b^2 = 12 What is the value of a x b x c? a. 6

Algebra ->  Equations -> SOLUTION: Can you help me with this? Thanks :) a, b, c are positive real numbers that satisfy the equation below: ab + c^2 = 18 a^2 + b^2 = 12 What is the value of a x b x c? a. 6       Log On


   



Question 1006383: Can you help me with this? Thanks :)
a, b, c are positive real numbers that satisfy the equation below:
ab + c^2 = 18
a^2 + b^2 = 12
What is the value of a x b x c?
a. 6
b. 8
c. 10
d. 12
e. 24

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Answer is not unique. Note that we can pick a, b, such that a^2 + b^2 = 12, and as long as ab < 18, we can determine c.

For example:



which already doesn't match any answer choice.