(MATH 114N Week 6 Homework Section 17-1)
1. Question: Match each equation in column I with the correct description of it solution in column II.
I II
x2 = No real number solution
x2 = -1 Two integer solutions
x2 = 4 Two irrational solutions
x2 = 12 Two rational solutions that are not integers
2. Question: Solve the equation.
4w2 – 9w = 9
3. Question: Solve the equation by using the square root property. Simplify all radicals.
x2 = 16
4. Question: Use the square root property. Simplify all radicals.
t2 = 12
5. Question: Solve the equation by using the square root property. Simplify all radicals.
x2 =
6. Question: Solve the equation by using the square root property.
x2 = – 49
7. Question: Use the square root property to solve the equation.
b2 – 34 = 0
8. Question: Solve the equation by using the square root property. Simplify all radicals.
3×2 – 24 = 0
9. Question: Use the square root property to solve the equation.
(x – 9)2 = 64
10. Question: Solve the equation by using the square root property.
(x + 2)2 = 12
11. Question: Solve the equation by using the square root property.
(3k + 4)2 = 64
12. Question: Solve the equation by using the square root property. Simplify all radicals.
(5 – 2x)2 = 23
13. Question: Solve the equation by using the square root property. Simplify all radicals.
(2k + 3)2 – 8 = 0
14. Question: The formula S = 16t2 is used to approximate the distance S, in feet, that an object falls freely from rest in t seconds.
The height of a building is 1343 feet. How long would it take for an object to fall from top?
15. Question: The formula A = P(1 + r)2 gives the amount A in dollars that P dollars will grow to in 2 years at interest rate r (where r is given as a decimal), using compound interest. What interest rate will cause $1000 to grow to $1060.90 in 2 years?
