Sederhanakan persamaan kuadrat berikut

Posted on

a. 7+2x=6x-x²
b.3(x+2)²=0
c.2x=✓x-1
d.7x+2=✓1-2x
e.3/2(x-1)²=2(2x+3)²

Sederhanakan persamaan kuadrat berikut

a.

7 + 2x = 6x – x²

x² + 2x – 6x + 7 = 0

x² – 4x + 7 = 0

b.

3(x + 2)² = 0

3(x + 2)(x + 2) = 0

3(x² + 2x + 2x + 4) = 0

3(x² + 4x + 4) = 0

3x² + 12x + 12 = 0

c.

2x = √x – 1 (kuadratkan)

2x² = x + 1

2x² – x – 1 = 0

d.

7x + 2 = √1 – 2x (kuadratkan)

7x² + 4 = 1 + 2x²

7x² – 2x² + 4 – 1 = 0

5x² + 3 = 0

e.

3/2(x – 1)² = 2(2x + 3)² (kali 2)

3(x – 1)(x – 1) = 4(2x + 3)(2x + 3)

3(x² – x – x + 1) = 4(4x² + 6x + 6x + 9)

3(x² – 2x + 1) = 4(4x² + 12x + 9)

3x² – 6x + 3 = 16x² + 48x + 36

3x² – 16x² – 6x – 48x + 3 – 36 = 0

-13x² – 54x – 33 = 0 (kali negatif)

13x² + 54x + 33 = 0