Question

What is the solution set of (x - 2)(x - 3) = 2?

Answer 1

Answer:

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

x² - 5x + 6 -2 = 0

x² - 5x + 4 = 0

x² - x - 4x + 4 = 0

x(x - 1) - 4(x - 1) = 0

(x - 1)(x - 4) = 0

x = 1 or 4

Answer 2

Step-by-step explanation:

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

$\implies$ x - 2 × x - 3 = 2

$\implies$ x - 2x - 3 = 2

$\implies$ -x = 2 + 3

$\implies$ -x = 5

$\implies$ x = -5