Answer:
To solve the equation (x – 3)² = 49, we need to find the values of x that satisfy this equation.
First, let's take the square root of both sides of the equation to eliminate the exponent of 2.
√[(x – 3)²] = √49
This simplifies to:
x – 3 = ±7
Next, we can isolate x by adding 3 to both sides of the equation:
x = 3 ± 7
This gives us two possible values for x:
x = 3 + 7 = 10
and
x = 3 - 7 = -4
Therefore, the correct values of x that satisfy the equation (x – 3)² = 49 are B. -4 and C. 10.
Explanation: