Does the equation x^2 -4x + y^2 = -3 intersect the x-axis?

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16-04-2018
Mathematics

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Does the equation x^2 -4x + y^2 = -3 intersect the x-axis?

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TheBilogis TheBilogis · Answer 1 · 2018-04-16T14:10:55+02:00

TheBilogis TheBilogis

16-04-2018

We can rewrite the equation into:
(x-2)^2+y^2=1

Therefore the circle's centre is that (2,0). Since the circle's centre lies on the x axis, the circle must intersect the x-axis.

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shinavvare shinavvare · Answer 2 · 2020-04-11T18:48:50+02:00

shinavvare shinavvare

11-04-2020

Answer:

Yes, because the center is on the x-axis?

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