Sunday

April 20, 2014

April 20, 2014

Posted by **Bob** on Monday, May 6, 2013 at 1:45am.

Note: Two sets are the same if there is a one-to-one correspondence between their elements. For example, the sets {1,2,3} and {3,2,1} are the same. Neither of them are the same as {1,2,1}.

- Math (Algebra) -
**Steve**, Monday, May 6, 2013 at 11:40amassuming a<=b<=c

a = 1/c

b = 1/b

c = 1/a

a+b+c=2

We see that b=±1, so a+c=1 or 3

If b=1,

a+ 1/a = 1

a^2 - a + 1 = 0

2a = 1±√3 i

Nope

If b = -1,

a + 1/a = 3

a^2 - 3a + 1 = 0

a = (3±√5)/2

c = 2/(3±√5) = (3∓√5)/2

a^2+b^2+c^2 = (14+6√5)/4 + 1 + (14-6√5)/4 = 8

**Related Questions**

Algebra - If the sum of 3 non-zero distinct real numbers a, b and c is 2 , and ...

Math - The squares of a 3×3 grid are filled with non-negative integers such ...

math - The squares of a 3×3 grid are filled with non-negative integers such that...

Math (please help me Steve) - The squares of a 3×3 grid are filled with non-...

Math (please help steve) - The squares of a 3×3 grid are filled with non-...

discrete math - 1)prove that if x is rational and x not equal to 0, then 1/x is ...

Algebra - What is the sum of all the possible values of a for which 25x^2 + (a-...

Algebra - What is the sum of all the possible values of a for which 25x^2 + (a-...

algebra - What is the sum of all the possible values of a for which 25x^2+(a&#...

Math - Determine for what value(s) of d the quadratic equation 5x^2-10x+d = 0 ...