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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 8: Tìm min: K = x^2 + y^2 – xy + 3x + 3y + 20

Toán Lớp 8: Tìm min: K = x^2 + y^2 – xy + 3x + 3y + 20

Comments ( 1 )

  1. $\begin{array}{l}   K = {x^2} + {y^2} – xy + 3x + 3y + 20\\  \Rightarrow 2K = 2{x^2} + 2{y^2} – 2xy + 6x + 6y + 40\\ 2K = {\left( {x – y} \right)^2} + {\left( {x + 3} \right)^2} + {\left( {x + 3} \right)^2} + 22 \ge 22\\  \Rightarrow K \ge 11 \Rightarrow \min K = 11\\  \Rightarrow x = y =  – 3 \end{array}$  

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222-9+11+12:2*14+14 = ? ( )