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Question

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

$\begin{array}{r} x^2+y^2=10 \\ 2 x^2-y^2=17 \end{array}$

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 5To solve the given system of equations, we use the substitution method. First, we revise the second given equation as $y^2$ in terms of $x$, that is,

$\begin{align*} -y^2&=17-2x^2\\ y^2&=2x^2-17\\ \end{align*}$

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