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Beliebt Geometry >

-8x^2-y^2-4x+5y+9=0

Lösung

- 8 x^{2} - y^{2} - 4 x + 5 y + 9 = 0

Lösung

(h, k) = (- \frac{1}{4}, \frac{5}{2}), a = \frac{3 7}{4 2}, b = \frac{3 7}{2}

Schritte zur Lösung

- 8 x^{2} - y^{2} - 4 x + 5 y + 9 = 0

Rewrite

- 8 x^{2} - y^{2} - 4 x + 5 y + 9 = 0

in the form of the standard ellipse equation

\frac{( x - ( - \frac{1}{4} ) ) ^{2}}{( \frac{3 7}{4 2} ) ^{2}} + \frac{( y - \frac{5}{2} ) ^{2}}{( \frac{3 7}{2} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- \frac{1}{4}, \frac{5}{2}), a = \frac{3 7}{4 2}, b = \frac{3 7}{2}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- \frac{1}{4}, \frac{5}{2}), b = \frac{3 7}{2}, a = \frac{3 7}{4 2}

Graph

Beliebte Beispiele

(X/3)^2+(Y/2)^2=1

(\frac{X}{3})^{2} + (\frac{Y}{2})^{2} = 1

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

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

((x-3)^2}{49}+\frac{(y+1)^2)/4 =1

\frac{( x - 3 ) ^{2}}{49} + \frac{( y + 1 ) ^{2}}{4} = 1

7x^2+3y^2-42x+6y-39=0

7 x^{2} + 3 y^{2} - 42 x + 6 y - 39 = 0

3 x^{2} + 5 y^{2} = 8