Answer:
Option D. is the answer
Step-by-step explanation:
The given expression is
We further solve the given equation,
(2x - 4) = (x-6)²
x²- 12x + 36 - 2x + 4 = 0
x² - 14x + 40 = 0
x² - 10x - 4x + 40 = 0
x(x - 10) - 4(x - 10) = 0
(x - 4)(x - 10) = 0
(x - 4) = 0 ⇒ x = 4
Or (x - 10) = 0
⇒ x = 10
Now we put the value of x = 4 in the equation,
=
=
= 2 - 4 + 6
= 0
For x = 10
= 4 - 10 + 6
= 0
Therefore, there are two solutions x = 4, 10
Option D will be the answer.