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Prove that, there are 4 real roots of system of equations: $\begin{cases} y^2+x=11 \\ x^2+y=7 \end{cases}$
How can I prove that, there are 4 real roots of this system of equation?
Solve for real numbers:
$$\begin{cases} y^2+x=11 \\ x^2+y=7 \end{cases}$$
My attempts:
$$(7-x^2)^2+x=11 \Longrightarrow x^4 - ...
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