91Ó°ÊÓ

The binomial \(b^{2}-4 a c\) is called the discriminant. From its value, you can predict whether the solutions of a given quadratic equation are real or nonreal numbers. Explain.

Set up an equation to solve. A rectangular mural is 4 feet longer than it is wide. Find its dimensions if its area is 32 square feet.

The height of a toy rocket in flight is given by the formula \(h=-16 t^{2}+144 t,\) where \(t\) is the time of the flight in seconds and 144 is the initial velocity in feet per second. If the maximum height of the rocket occurs halfway through its flight, how high will the rocket go?