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?

Set the two expressions for y equal: x³ + 72 = 5x² + 18x. Rearranging and factoring gives (x − 3)(x − 6)(x + 4) = 0, so the intersections occur at x = −4, 3, and 6. Their y-values are 8, 99, and 288; in the calculator’s default viewing window, only the point with y = 8 is visible. The correct choice is A, 1.

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