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Beliebt Geometry >

9x^2+16y^2-72x+32y+16=0

Lösung

9 x^{2} + 16 y^{2} - 72 x + 32 y + 16 = 0

Lösung

(h, k) = (4, - 1), a = 4, b = 3

Schritte zur Lösung

9 x^{2} + 16 y^{2} - 72 x + 32 y + 16 = 0

Rewrite

9 x^{2} + 16 y^{2} - 72 x + 32 y + 16 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (4, - 1), a = 4, b = 3

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (4, - 1), a = 4, b = 3

Graph

Beliebte Beispiele

x^2+4y^2+4x-8y=8

x^{2} + 4 y^{2} + 4 x - 8 y = 8

4 x^{2} + 18 y^{2} = 72

((x+1)^2)/(25)+((y+2)^2)/(49)=1

\frac{( x + 1 ) ^{2}}{25} + \frac{( y + 2 ) ^{2}}{49} = 1

9x^2+4y^2+18x-8y-23=0

9 x^{2} + 4 y^{2} + 18 x - 8 y - 23 = 0

9(x-3)^2+4(y-4)^2=36

9 (x - 3)^{2} + 4 (y - 4)^{2} = 36