Найти решение системы уравнений:. Created by dimon199999. algebra-ru

Найти решение системы уравнений:...

dimon199999 @dimon199999

November 2021 1 6 Report

Найти решение системы уравнений:

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julyap $2 x^{2} -xy=24 \\ 4x-y=16\\ y=4x-16 \\ \\ 2 x^{2} -x(4x-16)=24\\ 2 x^{2} -4 x^{2} +16x-24=0\\ -2 x^{2} +16x-24=0/*(-1)\\ 2 x^{2} -16x+24=0/:2\\ x^{2} -8x+12=0\\D=64-4*12=64-48=16 \\ \sqrt{D} =4\\ x_{1} = \frac{8+4}{2} = \frac{12}{2} =6 \\ x_{2} = \frac{8-4}{2} = \frac{4}{2} =2 \\ \\$

$y_{1} =4*6-16=24-16=8 \\ y _{2} =4*2-16=8-16=-8\\ \\ \\ \left \{ {{y=8} \atop {x=6}} \right. \left \{ {{y=-8} \atop {x=2}} \right.$

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