Question

1. Persamaan kuadrat x2 – 5x + 6 = 0 mempunyai akar – akar x1 dan x2. Persamaan kuadrat yang akar – akarnya x1 – 3 dan x2 – 3 adalah ….
a. x2 – 2x = 0
b. x2 – 2x + 30 = 0
c. x2 + x = 0
d. x2 + x – 30 = 0
e. x2 + x + 30 = 0

Answer 1

X² - 5x + 6 = 0

(x - 2)(x - 3) = 0

x - 2 = 0
x = 2

x - 3 = 0
x = 3

2 - 3 = -1
3 - 3 = 0

x = -1
x + 1 = 0

x = 0
x + 0 = 0

(x + 1)(x) = 0
= x² + x = 0