A nonlinear system has two equations with the same variables and at least one curve, such as a parabola. Graph both equations in Desmos and click their intersections, the points that satisfy both equations. If the question asks for one possible value of , read the first coordinate of either intersection. A point on only one graph won't work.
Hints
- Hint 1
An intersection is a point that lies on both graphs, so its coordinates make both equations true. Graph each equation on its own Desmos line and look for where the graphs meet.
- Hint 2
A point is written , with first. If the graphs meet more than once, the phrase “one possible value” means you can use the first coordinate of either meeting point.
Step-by-step
Graph the system in Desmos
Step 1Find where both equations hold
A system asks for values that make both equations true. Type and on separate Desmos lines. The parabola and the horizontal line cross twice; each crossing is a solution to the system.
- Step 2
Read a possible x-value
Click both crossings. Desmos labels them and . In a point , the first coordinate is , so either or works. Use a point on both graphs, not merely one. One possible value of is . Choice D.