Solve simple linear-quadratic systems algebraically and graphically.
Determine whether a simple linear-quadratic system has two, one, or no real intersections
Problem
Determine the number of real intersections for \(y=x^2\), \(y=4\).
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What this problem is really about
The number of real intersections equals the number of distinct real solutions after the two outputs are set equal. We’ll solve the resulting isolated-square equation with both branches and use the distinct x-values to count the graph crossings.
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