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Solve Equations by Finding Square Roots
Solve by Finding the Square Root
2
6 9 16x x  
 
2
3 16x  
3 4x   
3 4x   
3 4, 3 4x     
1, 7x  
2
14 49 48x x  
 
2
7 48x  
7 4 3x   
7 4 3x  
2
12 11x x  
 
2
6 25x  
6 5x   
Create a Perfect Square Trinomial
2
2
b 
 
 
2
12
2
 
  
 
 
2
6  36
2
362 1 361 1x x  
2
12 36 25x x  
6 5x  
11, 1x 
2
4 6x x 
2
2
b 
 
 
2
4
2
 
  
 
 
2
2 4
2
6 44 4x x   
 
2
2 10x  
2 10x   
2 10x   
2
16 12 22x x   
2
2
b 
 
 
2
16
2
 
  
 
 
2
8 64
2
646 3 641 4x x  
 
2
8 30x  
8 30x   
8 30x   
2
16 34x x  
2
2 20 24x x  
2
2
b 
 
 
2
10
2
 
  
 
 
2
5  25
2
250 1 251 2x x  
 
2
5 13x  
5 13x   
5 13x  
2
10 12x x  
2
14 61x x  2
2
b 
 
 
2
14
2
 
  
 
 
2
7 49
2
494 6 491 1x x  
 
2
7 12x   
7 12x    
7 2 3x i  
p. 288 # 3 - 9, 25 - 28, 34 - 38

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4.7 complete the square

  • 1. Solve Equations by Finding Square Roots
  • 2. Solve by Finding the Square Root 2 6 9 16x x     2 3 16x   3 4x    3 4x    3 4, 3 4x      1, 7x  
  • 3. 2 14 49 48x x     2 7 48x   7 4 3x    7 4 3x  
  • 4. 2 12 11x x     2 6 25x   6 5x    Create a Perfect Square Trinomial 2 2 b      2 12 2          2 6  36 2 362 1 361 1x x   2 12 36 25x x   6 5x   11, 1x 
  • 5. 2 4 6x x  2 2 b      2 4 2          2 2 4 2 6 44 4x x      2 2 10x   2 10x    2 10x   
  • 6. 2 16 12 22x x    2 2 b      2 16 2          2 8 64 2 646 3 641 4x x     2 8 30x   8 30x    8 30x    2 16 34x x  
  • 7. 2 2 20 24x x   2 2 b      2 10 2          2 5  25 2 250 1 251 2x x     2 5 13x   5 13x    5 13x   2 10 12x x  
  • 8. 2 14 61x x  2 2 b      2 14 2          2 7 49 2 494 6 491 1x x     2 7 12x    7 12x     7 2 3x i  
  • 9. p. 288 # 3 - 9, 25 - 28, 34 - 38