SUMO-4

Algebra Level 3

Find the minimum value of x y xy given that x 2 + y 2 + z 2 = 7 x^2+y^2+z^2=7 and x y + x z + y z = 4 xy+xz+yz=4 , where x x , y y , and z z are real numbers.

SUMO: Stanford University Math Organization

1 10 \frac{1}{10} 1 5 \frac{1}{5} 1 4 \frac{1}{4} 1 2 \frac{1}{2} 2 3 \frac{2}{3}

Hana Wehbi by Hana Wehbi , 51, USA

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