Решить систему уравнений. 2sqrtX-sqrtY=3 sqrtXY=2 подробно, со всеми действиями.

[latex] \left \{ {{2x-y=3} \atop {xy=2}} \right. [/latex] [latex] \left \{ {{y=2x-3} \atop {xy=2}} \right. [/latex] [latex] \left \{ {{y=2x-3} \atop {x(2x-3)=2}} \right. [/latex] 2x²-3x=2 2x²-3x-2=0 D=9-4*2*(-2)=25=5² x=[latex] \frac{3+5}{4} = 2[/latex] [latex] \left \{ {{y=2x-3} \atop {x=2}} \right. [/latex] [latex] \left \{ {{y=2*2-3} \atop {x=2}} \right. [/latex] [latex] \left \{ {{y=1} \atop {x=2}} \right. [/latex]