Penjelasan dengan langkah-langkah:

Persamaan Kuadrat

.

x² - 12x - 60 = 0

a = 1 , b = -12 , c = -60

.

x1,2 = (-b ± √(b² - 4ac)/ 2a

x1,2 = (12 ± √(-12)² - 4(1)(-60))/2(1)

x1,2 = (12 ± √(144 + 240)/2

x1,2 = (12 ± √(384))/2

x1,2 = (12 ± √(64 x 6))/2

x1,2 = (12 ± 8√6)/2

solusi nilai x ;

x1 = (12 + 8√6)/2 = (6 + 4√6)

x2 = (12 - 8√6)/2 = (6 - 4√6)

OR

x1,2 = 6 ± 4√6

.

d = b/2a = -12/2(1) = -6

e = (c - b²/4a) = (-60 - (-12)²/4(1)) = (-60 - (144/4) = (-60 - 36) = -96

.

a(x + d)² = -e

1(x - 6)² = 96

x - 6 = ±√96

x = ±√96 + 6

x = ±√(16 x 6) + 6

x = ±4√6 + 6

Solusi;

x1 = 6+4√6

atau

x2 = 6 - 4√6