Processing Math: Done
Solution 4.1:7a
From Förberedande kurs i matematik 1
As the equation stands, it is difficult directly to know anything about the circle, but if we complete the square and combine
x−a
2+
y−b
2=r2
and we will then be able to read off the circle's centre and radius.
If we take the
x+1
2−12
y−1
2−12
and then the whole equation can be written as
x+1
2−12+
y−1
2−12=1
or, with the constants moved to the right-hand side,
x+1
2+
y−1
2=3
This is a circle having its centre at
−1
1
3