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
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Answer:
Step-by-step explanation:
We have been given a function . We are asked to find the zeros of our given function.
To find the zeros of our given function, we will equate our given function by 0 as shown below:
Now, we will factor our equation. We can see that all terms of our equation a common factor that is .
Upon factoring out , we will get:
Now, we will split the middle term of our equation into parts, whose sum is and whose product is
. We know such two numbers are
.
Now, we will use zero product property to find the zeros of our given function.
Therefore, the zeros of our given function are .