Solving Quadratic Equations by Completing the Square
Objectives:
Solve for roots by completing the square.
Identify the vertex point when completing the square.
Solve Regents questions using this method
Question 1
1.
What are the roots in the equation below?
Solve the equation by completing the square.
Question 2
2.
What are the roots in the equation below?
Solve the equation by completing the square.
Question 3
3.
What are the roots in the equation below?
Solve the equation by completing the square.
Question 4
4.
What are the roots in the equation below?
Solve the equation by completing the square.
Question 5
5.
What are the roots of the quadratic equation below?
Find the roots by completing the square. Round your answers to the nearest tenth.
Question 6
6.
What are the roots in the equation below?
Solve the equation by completing the square.
Question 7
7.
What are the roots in the equation below?
Solve the equation by completing the square.
Question 8
8.
What are the roots of the quadratic equation below?
Find the roots by completing the square. Round your answers to the nearest tenth.
Question 9
9.
Which equation has the same solution as x2 + 6x - 7 = 0
Question 10
10.
What are the solutions to the equation 3(x - 4)2 = 27
Question 11
11.
Question 12
12.
Question 13
13.
If Lylah completes the square for f(x) = x2 - 12x + 7 in order to find the minimum, she must write f(x) in the general form f(x) = (x - a)2 + b. What is the value of a for f(x) ?
Question 14
14.
Which equation and ordered pair represents the correct vertex form and vertex for j(x) = x2 - 12x + 7 ?
Question 15
15.
Which equation is equivalent to y = x2 + 24x - 18 ?
Question 16
16.
Please upload your work if you didn't use the space provided.
Question 17
17.
Please upload your work if you didn't use the space provided.
Question 18
18.
Please upload your work if you didn't use the space provided.
Question 19
19.
Please upload your work if you didn't use the space provided.
Question 20
20.
Please upload your work if you didn't use the space provided.
