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# Several problems on quadratic equations

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1. Solve by completing the square.
x2 - 2x - 63 = 0
A) -9, 7
B) 9, 7
C) -9, -7
D) 9, -7

2. Solve. x2 - 75 = 0

3. Solve by using the quadratic formula. 3x2 = 11x + 4
A)

B)

C)

D)

4. The height h in feet of an object after t seconds is given by the function
h = -16t2 + 30t + 8.
How long will it take the object to hit the ground? Round your answer to the nearest thousandth.

5. Find the x-intercepts.
y = x2 + 3x - 10

6. The base of a 15-ft ladder is 8 feet away from the wall. How far above the floor is the top of the ladder? Give your answer to the nearest thousandth.
A) 10.557 feet
B) 12.689 feet
C) 14.990 feet
D) 11.668 feet

7. Match the graph with its equation.

A) y = -x2 - 1
B) y = -x2 + x
C) y = -x2 + 1
D) y = -x2 + 2x

8. The length of a rectangle is 4 cm more than 3 times its width. If the area of the rectangle is 95 cm2, find the dimensions of the rectangle to the nearest thousandth.

9. Find the vertex.
y = x2 - 20x + 4

10. Is the following trinomial a perfect square?
x2 - 12x + 36
A) Yes
B) No