Solution 4.1:6a
From Förberedande kurs i matematik 1
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- | + | If we write the equation as | |
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- | <center> [[ | + | {{Displayed math||<math>(x-0)^2 + (y-0)^2 = 9</math>}} |
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+ | we can interpret the left-hand side as the square of the distance between the points (''x'',''y'') and (0,0). The whole equation says that the distance from a point (''x'',''y'') to the origin should be constant and equal to <math>\sqrt{9}=3\,</math>, which describes a circle with its centre at the origin and radius 3. | ||
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+ | <center> [[Image:4_1_6_a.gif]] </center> |
Current revision
If we write the equation as
\displaystyle (x-0)^2 + (y-0)^2 = 9 |
we can interpret the left-hand side as the square of the distance between the points (x,y) and (0,0). The whole equation says that the distance from a point (x,y) to the origin should be constant and equal to \displaystyle \sqrt{9}=3\,, which describes a circle with its centre at the origin and radius 3.
