Summary: Practice homework set on completing the square.

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A pizza (a perfect circle) has a 3" radius for the real pizza part (the part with cheese). But they advertise it as having an area of 25

According to NBA rules, a basketball court must be precisely 94 feet long and 50 feet wide. (That part is true—the rest I’m making up.) I want to build a court, and of course, bleachers around it. The bleachers will be the same depth (*by “depth” I mean the length from the court to the back of the bleachers) on all four sides. I want the total area of the room to be 8,000 square feet. How deep must the bleachers be?

Recall that the height of a ball thrown up into the air is given by the formula:

I am standing on the roof of my house, 20 feet up in the air. I throw a ball *up* with an initial velocity of 64 feet/sec. You are standing on the ground below me, with your hands 4 feet above the ground. The ball travels up, then falls down, and then you catch it. How long did it spend in the air?

Solve by completing the square.

Consider the equation
*For what values of * will this equation have…

**a.**Two real answers?**b.**One real answer?**c.**No real answers?

Solve by completing the square: