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Beliebt Geometry >

3x^2+9y^2-6x-7y-8=0

Lösung

3 x^{2} + 9 y^{2} - 6 x - 7 y - 8 = 0

Lösung

(h, k) = (1, \frac{7}{18}), a = \frac{445}{6 3}, b = \frac{445}{18}

Schritte zur Lösung

3 x^{2} + 9 y^{2} - 6 x - 7 y - 8 = 0

Rewrite

3 x^{2} + 9 y^{2} - 6 x - 7 y - 8 = 0

in the form of the standard ellipse equation

\frac{( x - 1 ) ^{2}}{( \frac{445}{6 3} ) ^{2}} + \frac{( y - \frac{7}{18} ) ^{2}}{( \frac{445}{18} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (1, \frac{7}{18}), a = \frac{445}{6 3}, b = \frac{445}{18}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (1, \frac{7}{18}), a = \frac{445}{6 3}, b = \frac{445}{18}

Graph

Beliebte Beispiele

x^{2} = 6 y - y^{2}

((x-4)^2)/1+((y+9)^2)/9 =1

\frac{( x - 4 ) ^{2}}{1} + \frac{( y + 9 ) ^{2}}{9} = 1

solvefor x,2^2=h(x)^2+(x/2)^2

so l v e f or x, 2^{2} = h (x)^{2} + (\frac{x}{2})^{2}

4 x^{2} + y^{2} \leq 17

((x+8)^2)/(20)+((y+36)^2)/(36)=1

\frac{( x + 8 ) ^{2}}{20} + \frac{( y + 36 ) ^{2}}{36} = 1