Penjelasan dengan langkah-langkah:

1. 9x² + 6x = 1

9x² + 6x - 1 = 0

a = 9, b = 6 , c = -1

.

d = b/2a = 6/2(9)= 6/18 = 1/3

e = c - (b²/4a) = -1 - (6²/4(9)) = -1 - (36/36)= -1-1 = -2

.

a(x + d)² = -e

9(x + 1/3)² = 2

(x + 1/3)² = 2/9

x + 1/3 = ± √2/9

x + 1/3 = ± √2/3

x1 = √2/3 - 1/3 = (√2 - 1)/3

x2 = (-√2/3 - 1/3)= (-√2 - 1)/3

.

2). x(x - 3) = -5

x² - 3x +5 = 0

a = 1 , b = -3 , c = 5

.

d = b/2a = -3/2(1) = -3/2

e = c - (b²/4ac) = 5- ((-3)²/4(1)(5)) = 5- (9/20)= (100-9)/20= 91/20

.

a(x + d)² = -e

(x - 3/2)² = -91/20

x - 3/2 = ± (√-91/20)

Tidak ada penyelesaian Riil karena nilai Diskriminan nya negatif