Answer: x = -4 or 8
Explanation:
To solve, we will isolate the x-variable. Since this is a parabola (as shown by the square) we will either have 1 or 2 answers.
Given:
6(x - 2)² + 7 = 223
Subtract 7 from both sides of the equation:
6(x - 2)² = 216
Divide both sides of the equation by 6:
(x - 2)² = 36
Square root both sides of the equation:
* Since we square rooted, we will have the positive and negative result
x - 2 = 6 x - 2 = -6
Add 2 to both sides of the equation, for both equations:
x = 8 x = -4
x = -4 or 8