Answer:
Step-by-step explanation:
The equation of this circle is:
(x - 1)² + (y - 1)² = 5²
Just supposing we choose x = 2. What's the corresponding y-value?
Actually, there are two unique y-values for each x value.
Let x = 2 in (x - 1)² + (y - 1)² = 5². Then:
(2 - 1)² + (y - 1)² = 5², or
1² + (y - 1)² = 25
Solving for (y - 1)², we get (y - 1)² = 25 - 4, or 24.
Taking the square root of both sides:
y - 1 = ±√24, so that y = 1 ±√24,
This simplifies to y = 1 ± 2√6.
Therefore, if x = 2, y has two values:
(2, 1+2√6) and
(2, 1-2√6
