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How many solutions does this nonlinear system of equations have?

Taking into account the definition of system of equations, this nonlinear system of equations have one solution.

A system of equations is a set of two or more equations that share two or more unknowns. The solutions of a system of equations are all the values that are valid for all equations.

That is, to find the solution to a system of equations, you must find a value (or range of values) that satisfy all the equations in the system.

Graphically, the points where the graphs of the equations intersect will be the solutions to the system.

A system of equations with a linear equation and a quadratic equation can have two, one, or no solutions. To find its quantity, we must look for the intersection between both graphs:

In this case, you can see that the parabola and the line touch at a single point. Then there is a solution for both equations.

In summary, this nonlinear system of equations have one solution.

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One solution

Step-by-step explanation:

The blue line is a tangent line to the parabola, and because tangent lines only touch another line at one point, there must only be one solution to the system of equations.

g

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c

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