Homework 1.4

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Homework 1.4

Question

Homework 1.4

 

1.  Match the following equation with its solutions.

x2=900

Choose the correct answer below.

 

2  Match the following equation with its solutions.

x2=–676

Choose the correct answer below.

 
 
 
3.   Which equation is set up for direct use of the​ zero-factor property? Solve it.
 
 
 
 
 
 
 
Choose the correct answer below.
 

 
 
4.  Solve the equation by the​ zero-factor property.

 
0
The solution set is ____
 
 
5.   Solve by factoring.
 
0
 
The solution set is _____
 
 
 
 
6.  Find all solutions by factoring.
 
14
 
The solution set is ______
 
 
7.  Solve the given equation by the​ zero-factor property.
 
0
 
The solution set is ____
 
 
8.  Solve the equation by the square root property.

(2x−5)2=26

Choose the correct answer below.

 
 
9. Solve the equation by using the square root property.

(z+7)2=−15

Choose the correct answer below.

 
 
10.  Solve the equation by the square root property.

(z+3)2=−36

The solution set is _______

 

11.  Solve by completing the square.

 
2xx10

 The solution set is _______

 

12.  Solve by completing the square.

 
xx38
 
The solution set is
 
 
13 .   Use the quadratic formula to solve the equation.

 
y22
The solution set is _____
 
 
14.   Solve the equation using the quadratic formula.
 
xx52
 
The solution set is _____
 
 
15.  Solve the following equation using the quadratic formula.
 
–2x2=–5x+8
 
The solution set is ____
 
 
16.   Use the quadratic formula to solve the equation.

 
x10
The solution set is
 
17 .Use the quadratic formula to solve.
 
x0
 
The solution set is
 
18.  Solve the following equation using the quadratic formula.
 
x–6x–4=–1
 
The solution set is
 
 
19 .  Evaluate the discriminant for the following equation. Then use it to determine the number of distinct​ solutions, and tell whether they are​ rational, irrational, or nonreal complex numbers.

x2–16x+64

=0

The discriminant is ____ ​(Simplify your​ answer.)

Determine the number of distinct​ solutions, and tell whether they are​ rational, irrational, or nonreal complex numbers. Choose the correct answer below.

  1. The equation has two distinct nonreal complex solutions.
  2. The equation has two distinct irrational solutions.
  3. The equation has two distinct rational solutions.
  4. The equation has one distinct rational​ solution, a double solution

 

20.  Evaluate the discriminant for the following equation. Then use it to determine the number of distinct​ solutions, and tell whether they are​ rational, irrational, or nonreal complex numbers.

 

4x2–64=0

The discriminant is _____  ​(Simplify your​ answer.)

Determine the number of distinct​ solutions, and tell whether they are​ rational, irrational, or nonreal complex numbers. Choose the correct answer below.

  1. The equation has two distinct rational solutions.
  2. The equation has one distinct rational​ solution, a double solution.
  3. The equation has two distinct nonreal complex solutions.
  4. The equation has two distinct irrational solutions.

 

 

 

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This question is taken from Math 260 – PreCalculus » Fall 2021 » Homeworks