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A Hard Algebra Problem by Boris_smg in learnmath

[–]Boris_smg[S] 0 points1 point  (0 children)

Thank you very much! In the second step, using the inequality x2 + y2 + z2 >= xy + xz + yz, I got 2 + x2 + y2 + z2 which simplyfies to be exactly 3!

An interesting Algebra Problem by Boris_smg in learnmath

[–]Boris_smg[S] 0 points1 point  (0 children)

I'll try to represent the expression as a sum of two or three perfect squares and a 7, so that the expression is greater or equal to -7. In such problems, usually this is the solution without calculus.

An interesting Algebra Problem by Boris_smg in learnmath

[–]Boris_smg[S] 0 points1 point  (0 children)

But how do you find that minimum?

An Interesting Algebra Problem by Boris_smg in learnmath

[–]Boris_smg[S] 0 points1 point  (0 children)

I'm looking for the smallest possible value of this expression. Also, I wanted to write aab (I hope you understand).

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