What do you have to add to the expression 4x^2+20x to complete the square?

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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What do you have to add to the expression 4x^2+20x to complete the square? 

note: the leading coefficient has to be one to complete the square.

 

solve like the example attached. 

Warm-Up
What number completes the square for 3x² - 7x?
a.) -7/3
b.) 49/9
(c.) 49/36
d.) -49/36
X-3X
ㅎㅎㅎ (2)
김
Transcribed Image Text:Warm-Up What number completes the square for 3x² - 7x? a.) -7/3 b.) 49/9 (c.) 49/36 d.) -49/36 X-3X ㅎㅎㅎ (2) 김
Take half of the linear term coefficient and square it. (linear term coefficient is the
number multiplying the variable with the power of 1)
Example: what constant needs to be added to the expression to complete the
square?
13
x² + 13x + 169
169
4
L
1 • 13 = 1/2 (23) ²
169
4
Transcribed Image Text:Take half of the linear term coefficient and square it. (linear term coefficient is the number multiplying the variable with the power of 1) Example: what constant needs to be added to the expression to complete the square? 13 x² + 13x + 169 169 4 L 1 • 13 = 1/2 (23) ² 169 4
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