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\left\{ \begin{array} { l } { x^2+y^2=6}\\ { 2x^2 Y^2=4} \end{array} \right.

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Type your math problem... \left\{ \begin{array} { l } { x^2+y^2=6}\\ { 2x^2-y^2=4} \end{array} \right.

Question

求解方程组

使用替换法求解

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使用消元法求解

(x_{1}, y_{1}) = (- \frac{30}{3}, - \frac{2 6}{3}) (x_{2}, y_{2}) = (- \frac{30}{3}, \frac{2 6}{3}) (x_{3}, y_{3}) = (\frac{30}{3}, - \frac{2 6}{3}) (x_{4}, y_{4}) = (\frac{30}{3}, \frac{2 6}{3})

求值

{x^{2} + y^{2} = 6 2 x^{2} - y^{2} = 4

求解 x 的方程

More Steps

{x = 6 - y^{2} \cup x = - 6 - y^{2} 2 x^{2} - y^{2} = 4

求值

{x = 6 - y^{2} 2 x^{2} - y^{2} = 4 \cup {x = - 6 - y^{2} 2 x^{2} - y^{2} = 4

计算

More Steps

{x = \frac{30}{3} y = - \frac{2 6}{3} \cup {x = \frac{30}{3} y = \frac{2 6}{3} \cup {x = - 6 - y^{2} 2 x^{2} - y^{2} = 4

计算

More Steps

{x = \frac{30}{3} y = - \frac{2 6}{3} \cup {x = \frac{30}{3} y = \frac{2 6}{3} \cup {x = - \frac{30}{3} y = - \frac{2 6}{3} \cup {x = - \frac{30}{3} y = \frac{2 6}{3}

重新排列各项

{x = - \frac{30}{3} y = - \frac{2 6}{3} \cup {x = - \frac{30}{3} y = \frac{2 6}{3} \cup {x = \frac{30}{3} y = - \frac{2 6}{3} \cup {x = \frac{30}{3} y = \frac{2 6}{3}

检查解决方案

More Steps

{x = - \frac{30}{3} y = - \frac{2 6}{3} \cup {x = - \frac{30}{3} y = \frac{2 6}{3} \cup {x = \frac{30}{3} y = - \frac{2 6}{3} \cup {x = \frac{30}{3} y = \frac{2 6}{3}

检查解决方案

More Steps

{x = - \frac{30}{3} y = - \frac{2 6}{3} \cup {x = - \frac{30}{3} y = \frac{2 6}{3} \cup {x = \frac{30}{3} y = - \frac{2 6}{3} \cup {x = \frac{30}{3} y = \frac{2 6}{3}

检查解决方案

More Steps

{x = - \frac{30}{3} y = - \frac{2 6}{3} \cup {x = - \frac{30}{3} y = \frac{2 6}{3} \cup {x = \frac{30}{3} y = - \frac{2 6}{3} \cup {x = \frac{30}{3} y = \frac{2 6}{3}

检查解决方案

More Steps

{x = - \frac{30}{3} y = - \frac{2 6}{3} \cup {x = - \frac{30}{3} y = \frac{2 6}{3} \cup {x = \frac{30}{3} y = - \frac{2 6}{3} \cup {x = \frac{30}{3} y = \frac{2 6}{3}

Solution

(x_{1}, y_{1}) = (- \frac{30}{3}, - \frac{2 6}{3}) (x_{2}, y_{2}) = (- \frac{30}{3}, \frac{2 6}{3}) (x_{3}, y_{3}) = (\frac{30}{3}, - \frac{2 6}{3}) (x_{4}, y_{4}) = (\frac{30}{3}, \frac{2 6}{3})

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