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Give all solutions of the nonlinear system of equations, including those with nonreal complex components.

x2+y2=102x2y2=17\begin{array}{r} x^2+y^2=10 \\ 2 x^2-y^2=17 \end{array}


Answered 1 year ago
Answered 1 year ago
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To solve the given system of equations, we use the substitution method. First, we revise the second given equation as y2y^2 in terms of xx, that is,

y2=172x2y2=2x217\begin{align*} -y^2&=17-2x^2\\ y^2&=2x^2-17\\ \end{align*}

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