# Algebra

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Explain how to use a graph to determine the number of solutions of a system?

• Algebra -

Plot the graph of the function f(x), and find out where the graph intersects the x-axis, which means that f(x)=0, or a real solution exists. The corresponding value of x is a real root of the equation.

Note that complex roots, if any, are not shown on a graph. Also, multiple roots are not so obvious. The x-axis may appear as a tangent to the curve.

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