# Find all the real solutions of the following quadratic equation

August 30, 2017

Question
1. Find all the real solutions of the following quadratic equation: 4(x-4)^2=x(x+80)-44x

2. Decide whether the following statement is true or false: sin 0=2 has a real solution that can be found using a calculator

3. Solve the equation on the interval 0≤∞<2π

7sec∞+9=-5

4. Use a calculator to solve the equation on the interval 0≤∞<2π

3 cos ∞-2=0

5. What are the zeros of f(x)=4 cos^2 x-3 on the interval [0,2π]

6. Solve the equation on the interval 0≤∞0 by using a graphing utility

8. An airplane is asked to stay within a holding pattern near an airport. The function d(x)=70sin(0.87x)+140 represents the distance d, in miles, that the airplane from the airport at time x, in minutes.

(a) When the plane enters the holding patter, x=0, how far is it from the airport

(b) During the first 15 minutes after the plane enters the holding pattern, at what time x is the plane exactly 110 miles from the airport

(c) During the first 15 minutes after the plane enters the holding pattern, at what time x is the plane more than 110 miles from the airport

(d) While the plane is in the holding pattern, will it ever be within 50 miles of the airport? Why

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