Pencil Problem #8 8. Solve by completing the square: x +6x- 11=0

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Objective #8: Solve quadratic equations by completing the square. (pp. 98-99)
x2 + bx +
Solved Problem #8
Pencil Problem #8
8. Solve by completing the square: x +4x- 1=0
8. Solve by completing the square: x² +6x- 11=0
x² +4x - 1=0
x2 +4x
=1
Isolate the constant term.
Take half of the linear term and square it (this completes
the square)
Half of 4 is 2, and 2² is 4, which should be added to
both sides.
x² +4x+4=1+4
x² +4x+4=5
(x+2)? = 5
This will always factor to a perfect square trinomial
because you used the completing the square rule (half of
the linear term squared).
Next, use the square root property to take the square
root of each side.
x+2 =- 5
x= - 2- 5
x+2=5
or
x = -2+5
The solution set is
Copyright 2018 Pearson Education Inc.
39
Transcribed Image Text:Objective #8: Solve quadratic equations by completing the square. (pp. 98-99) x2 + bx + Solved Problem #8 Pencil Problem #8 8. Solve by completing the square: x +4x- 1=0 8. Solve by completing the square: x² +6x- 11=0 x² +4x - 1=0 x2 +4x =1 Isolate the constant term. Take half of the linear term and square it (this completes the square) Half of 4 is 2, and 2² is 4, which should be added to both sides. x² +4x+4=1+4 x² +4x+4=5 (x+2)? = 5 This will always factor to a perfect square trinomial because you used the completing the square rule (half of the linear term squared). Next, use the square root property to take the square root of each side. x+2 =- 5 x= - 2- 5 x+2=5 or x = -2+5 The solution set is Copyright 2018 Pearson Education Inc. 39
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