Question

1. Tentukan himpunan selesaian dari 3(x – 2) = (x + 2)(4x – 3)
2. Jumlah kuadrat akar-akar persamaan 2(x – 1) + 2 = x(x + 1)

Answer 1

1).

3 ( x - 2 ) = ( x + 2 ) ( 4x - 3 )
     3x - 6 = 4x² + 5x - 6
 4x² + 2x = 0
2x ( 2x + 1 ) = 0

2x = 0
  x = 0

2x + 1 = 0
      2x = -1
        x = -1/2

Jadi, nilai x adalah 0 atau -1/2.
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2).

2 ( x - 1 ) + 2 = x ( x + 1 )
      2x - 2 + 2 = x² + x
             x² - x = 0
       x ( x - 1 ) = 0

x = 0

x - 1 = 0
x      = 1

=> 0² + 1²
= 0 + 1
= 1