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x/2√2+y/2√3=1 inmultim cu 4√6
-x√3-2y√2=√6
2x√3+2y√2=4√6
le adunam membru cu membru
x√3=5√6
x=5√2
inlocuim x in :
-x√3-2y√2=√6
-5√2×√3-2y√2=√6
-5√6-2y√2=√6
-6√6=2y√2
y=-6√6/2√2
y=-3√3