MS
100 College Algebra Quest* Two · **Name:**

*Note
that there are problems on BOTH sides of this paper*

Problems one to three: Solve by completing the square, if the solutions involve imaginary numbers, then write the solution(s) as a complex number.

1. x² + 66x + 1073 = 0

2. − 10x² − 340x + 350 = 0

3. x² − 8x + 41 = 0

4.
The distance in meters that an object falls can be calculated from
the formula **distance = 0.5*acceleration of gravity*t²**

where t is the time in seconds.

If a bolt is dropped off of the top of an 34 meter tall crane, how long until the bolt hits the ground? Note that the acceleration of gravity is 9.8 meters/second² and the distance is the 34 meters crane height.

5. Multiply (7 − 4i)(7 + 4i)

6. Solve for x:

7. Solve for x:

8. Solve and sketch answer on a number line: - 4x - 7 ≤ 13

9. Solve and sketch answer on a number line: | x + 5| ≤ 17

*
Quest = Quiz-Test blend