Question

3(x-2)^2 = 147
solve​

Answer 1

Answer:

x² - 4x - 45 = 0

Step-by-step explanation:

3(x - 2)² = 147

Using (a - b)² = a² + b² - 2ab

3(x² + 2² - 2 * x * 2) = 147

3(x² + 4 - 4x) = 147

3x² + 12 - 12x = 147

3x² + 12 - 12x - 147 = 0

3x² - 12x - 135 = 0

Dividing by 3 throughout,

x² - 4x - 45 = 0

Answer 2

Step-by-step explanation:

3(x-2)^2 = 147

3(x2 + 4 -4x) =147

3x2 + 12 - 12x =147

3x2-12x-135 = 0

3x2-27x+15x-135 = 0

3x (x-9)+15 (x-9)

(3x+15)(x-9)

Therefore, x =-15/3 or 9.