Another one

Algebra Level 2

m + n = 2 m+n=2
m 2 + n 2 = 3 m^2+n^2=3
find :
m 4 + n 4 . m^4+n^4.


The answer is 8.5.

Adrian Karlo Flores by Adrian Karlo Flores , 27, Philippines

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2 solutions

Vaibhav Borale
Aug 6, 2014

kuch bhi kuch bhi

4 Helpful 1 Interesting 1 Brilliant 0 Confused
William Isoroku
Jul 31, 2014

Square m+n. Since m^2+n^2=3, just solve for mn (it's 1/2). Then square m^2+n^2 ( it's 3^2). Since mn is 1/2. (mn)^2 is 1/4. Substitute and solve.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

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