Melengkapkan Kuadrat Sempurna
(a - b)² = a² - 2ab + b²
••
x² - 3x - 10 = 0
x² - 2.3/2 x + (3/2)² = 10 + (3/2)²
(x - 3/2)² = 40/4 + 9/4
(x - 3/2)² = 49/4 ✔
Akar2 PK
(x - 3/2)² = 49/4
x - 3/2 = ± √(49/4)
x = 3/2 ± 7/2
x1 = 3/2 + 7/2
x1 = 10/2
x1 = 5 ✔
x2 = 3/2 - 7/2
x2 = -2 ✔
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Melengkapkan Kuadrat Sempurna
(a - b)² = a² - 2ab + b²
••
x² - 3x - 10 = 0
x² - 2.3/2 x + (3/2)² = 10 + (3/2)²
(x - 3/2)² = 40/4 + 9/4
(x - 3/2)² = 49/4 ✔
Akar2 PK
(x - 3/2)² = 49/4
x - 3/2 = ± √(49/4)
x = 3/2 ± 7/2
x1 = 3/2 + 7/2
x1 = 10/2
x1 = 5 ✔
x2 = 3/2 - 7/2
x2 = -2 ✔