The following system of equations can be used to find the roots of the equation x3 + 72 = 5x2 + 18x.y = x3 + 72y = 5x2 + 18xGraph this system of equations on the graphing calculator.How many intersection points can you see in the default viewing window? 123

Set the equations equal: x³ + 72 = 5x² + 18x, which factors to (x − 3)(x − 6)(x + 4) = 0. The intersection x-values are −4, 3, and 6; their corresponding y-values are 8, 99, and 288. In the default viewing window, only the point with y = 8 is visible, so you see 1 intersection point.

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