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Beliebt Geometry >

8x^2+9y^2-16x-54y+17=0

Lösung

8 x^{2} + 9 y^{2} - 16 x - 54 y + 17 = 0

Lösung

(h, k) = (1, 3), a = 3, b = 22

Schritte zur Lösung

8 x^{2} + 9 y^{2} - 16 x - 54 y + 17 = 0

Rewrite

8 x^{2} + 9 y^{2} - 16 x - 54 y + 17 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (1, 3), a = 3, b = 22

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (1, 3), a = 3, b = 22

Graph

Beliebte Beispiele

((x+3)^2)/(21)+((y-2)^2)/(49)=1

\frac{( x + 3 ) ^{2}}{21} + \frac{( y - 2 ) ^{2}}{49} = 1

16-x^2-9y^2>= 0

16 - x^{2} - 9 y^{2} \geq 0

9x^2+6y^2+54x-36y+81=0

9 x^{2} + 6 y^{2} + 54 x - 36 y + 81 = 0

36x^2+25y^2-900=0

36 x^{2} + 25 y^{2} - 900 = 0

-8x^2-2y^2-12=0

- 8 x^{2} - 2 y^{2} - 12 = 0