x^2+14(y-(sqrt(13))/(14))^2-125/14 =0

Lösung

x^{2} + 14 (y - \frac{13}{14})^{2} - \frac{125}{14} = 0

(h, k) = (0, \frac{13}{14}), a = \frac{5 5}{14}, b = \frac{5 5}{14}

Schritte zur Lösung

x^{2} + 14 (y - \frac{13}{14})^{2} - \frac{125}{14} = 0

Rewrite

x^{2} + 14 (y - \frac{13}{14})^{2} - \frac{125}{14} = 0

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{5 5}{14} ) ^{2}} + \frac{( y - \frac{13}{14} ) ^{2}}{( \frac{5 5}{14} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, \frac{13}{14}), a = \frac{5 5}{14}, b = \frac{5 5}{14}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, \frac{13}{14}), a = \frac{5 5}{14}, b = \frac{5 5}{14}

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