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Solution 4.1:7b

From Förberedande kurs i matematik 1

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The equation is almost in the standard form for a circle; all that is needed is for us to collect together the y²- and y-terms into a quadratic term by completing the square

y2+4y=(y+2)2−22.

After rewriting, the equation is

x2+(y+2)2=4

and we see that the equation describes a circle having its centre at (0,-2) and radius 4=2 .


Image:4_1_7_b.gif
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