If using the method of completing the square to solve the quadratic equation x2 + 17x + 3 = 0, which number would have to be added to "complete the square"?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter6: Quadratic Equations And Inequalities
Section6.3: Completing The Square
Problem 62PS
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If using the method of completing the square to
solve the quadratic equation
x2 + 17x + 3 = 0, which number would have
to be added to "complete the square"?
Answer:
Submit Answer
Transcribed Image Text:If using the method of completing the square to solve the quadratic equation x2 + 17x + 3 = 0, which number would have to be added to "complete the square"? Answer: Submit Answer
If using the method of completing the square to
solve the quadratic equation
x² + 7x + 29 = 0, which number would have
to be added to "complete the square"?
x2 + 7x + 29 = 0
x2 + 7x = -29
7
3.5 → (3.5)? = 12.25
Number to add:
%3D
x² + 7x + 12.25 = -29 + 12.25
(x + 3.5)? = –16.75
Square now completed.
49
Number added: 12.25 or
4
Transcribed Image Text:If using the method of completing the square to solve the quadratic equation x² + 7x + 29 = 0, which number would have to be added to "complete the square"? x2 + 7x + 29 = 0 x2 + 7x = -29 7 3.5 → (3.5)? = 12.25 Number to add: %3D x² + 7x + 12.25 = -29 + 12.25 (x + 3.5)? = –16.75 Square now completed. 49 Number added: 12.25 or 4
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