Complete the square to write the equation x^2 + y^2 – 4x – 16 = 0 in graphing form.
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The equation x^2 + y^2 - 4x - 16 = 0 can be rewritten as follows:
x^2 + y^2 - 4x - 16 = 0
completing the squares
=> x^2 - 4x + 4 + y^2 = 16 + 4
=> (x - 2)^2 + y^2 = 20
=> (x - 2)^2 + ( y - 0)^2 = (sqrt 20)^2
This is the equation of a circle with center (2, 0) and radius sqrt 20.
The required equation is (x - 2)^2 + ( y - 0)^2 = (sqrt 20)^2
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calendarEducator since 2008
write3,662 answers
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For the equation x^2 + y^2 - 4x -16 = 0
We need to solve by completing the square.
==> First we will group terms.
==> x^2 - 4x + y^2 - 16 = 0
==> (x^2 -4x) + y^2 -16= 0
==> (x^2 -4x +4 -4) + y^2 -16= 0
==> (x-2)^2 -4 + y^2 = 16
==> (x-2)^2 + y^2 = 20
Then we have equation of a circle such that:
(2, 0) is the center of the circle and sqrt20 is the radius.
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