Penyelesaian:
x² + 3x - 4 = 0
x² + 3x + (3/2)² = 4 + (3/2)²
( x + 3/2 )² = 16/4 + 9/4
( x + 3/2 )² = 25/4
x + 3/2 = ± √25/4
x = - 3/2 + 5/2
Himpunan Penyelesaian
x = 2/2 = 1 atau x = -8/2 = -4
x² - 5x - 24 = 0
x² - 5x + (-5/2)² = 24 + (-5/2)²
( x - 5/2 )² = 96/4 + 25/4
( x - 5/2 )² = 121/4
x - 5/2 = ± √121/4
x = 5/2 ± 11/2
Himpunan Penyelesaian
x = 16/2 = 8 atau x = -6/2 = -3
x² + 7x + 12 = 0
x² + 7x + (7/2)² = - 12 + (7/2)²
( x + 7/2 )² = - 48/4 + 49/4
( x + 7/2 )² = ¼
x + 7/2 = ± √¼
x = - 7/2 ± ½
Himpunan Penyelesaian
x = -6/2 = -3 atau x = -8/2 = -4
x² - 9x + 18 = 0
x² - 9x + (-9/2)² = -18 + (-9/2)²
( x - 9/2 )² = - 72/4 + 81/4
( x - 9/2 )² = 9/4
x = 9/2 ± √9/4
x = 9/2 ± 3/2
Himpunan Penyelesaian
x = 12/2 = 6 atau x = 6/2 = 3
4x² - 8x + 3 = 0
x² - 2x + ¾ = 0
x² - 2x + (-1)² = -¾ + (-1)²
( x - 1 )² = -¾ + 1
( x - 1 )² = ¼
x - 1 = ± √¼
x = 1 ± ½
Himpunan Penyelesaian
x = 3/2 atau x = ½
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