Автор - mashachanmasha

помогиие пожалуйста​

Ответ

Проверено экспертом

Автор - hote

displaysty left { {{2x^2-xy=33} atop {4x-y=17} right. \\y=4x-17\\2x^2-x(4x-17)=33\\2x^2-4x^2+17x-33=0\\-2x^2+17x-33=0\\D=289-264=25\\x_{1.2}=frac{-17pm 5}{-4}\\x_1=5.5; x_2=3\\y_1=4*5.5-17=5;y_2=4*3-17=-5\\(5.5;5)(3;-5)

Ответ

Проверено экспертом

Автор - Reideen

displaystyleleft { {{2x^{2} -xy=33} atop {4x-y=17}} right. \left { {{x(2x-y)=33} atop {x=frac{17+y}{4} }} right. \left { {{frac{17+y}{4}(2*frac{17+y}{4}-y)=33} atop {x=frac{17+y}{4} }} right. \left { {{frac{17+y}{4}(frac{17+y}{2}-y)=33} atop {x=frac{17+y}{4}}} right. \left { {{frac{17+y}{4}(frac{17-y}{2} )=33} atop {x=frac{17+y}{4} }} right. \

displaystyleleft { {{frac{(17+y)(17-y)}{8} =33} atop {x=frac{17+y}{4} }} right. \left { {{frac{289-y^{2}}{8} =33 } atop {x=frac{17+y}{4} }} right.\left { {{289-y^{2}=264} atop {x=frac{17+y}{4} }} right. \left { {{y^{2}-25=0 } atop {x=frac{17+y}{4}}} right.\ left { {{ left[begin{array}{ccc}y_{1}=5 \y_{2}=-5end{array}right } atop {left[begin{array}{ccc}x_{1}=5,5 \x_{2}=3end{array}right }}} right.

Otvet: x_{1} =5,5, y_{1} =5 ili x_{2} =3, y_{2} =-5

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