Solve the quadratic equation using the method of completing the square: x2 - 14x – 21 = 0 . Student solution. After we move the free coefficient to the right hand side the equation becomes: In order to have a binomial square on the left hand side, we need to add value = . After adding this value to the both sides, the equation becomes: The left hand side rewrites as the square binomial 0-0 After we apply the square root property, we obtain O-0 or Lastly the solutions (separate by commas) are:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.5: Solving Quadratic Equations By Completing The Square
Problem 47PFA
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Solve the quadratic equation using the method of completing the square:
– 14x – 21 = 0 .
Student solution.
After we move the free coefficient to the right hand side the equation becomes:
In order to have a binomial square on the left hand side, we need to add
value = .
After adding this value to the both sides, the equation becomes:
The left hand side rewrites as the square binomial
After we apply the square root property, we obtain
or
Lastly the solutions (separate by commas) are:
Transcribed Image Text:Solve the quadratic equation using the method of completing the square: – 14x – 21 = 0 . Student solution. After we move the free coefficient to the right hand side the equation becomes: In order to have a binomial square on the left hand side, we need to add value = . After adding this value to the both sides, the equation becomes: The left hand side rewrites as the square binomial After we apply the square root property, we obtain or Lastly the solutions (separate by commas) are:
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