Complete the square to rewrite x^2+y^2+2x+6y-6=0 in graphing form
1 answer:
Answer:
(x + 1)² + (y + 3)² = 16
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² + 2x + 6y - 6 = 0
Collect the x and y terms together and add 6 to both sides
x² + 2x + y² + 6y = 6
To complete the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(1)x + 1 + y² + 2(3)y + 9 = 6 + 1 + 9
(x + 1)² + (y + 3)² = 16
with centre = (- 1, - 3) and r = = 4
You might be interested in
The final result is, C) 0 only.
We gathered the solutions of b = 0, -4.
b = -4 was not true so we had to remove it from the solution set, and we are left with b = 0 now. You can check this answer by substituting 0 in for b in the original equation. You should get 1 = 1, which is the correct answer.