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Beliebt Geometry >

4x^2+9y^2-8x-32=0

Lösung

4 x^{2} + 9 y^{2} - 8 x - 32 = 0

Lösung

(h, k) = (1, 0), a = 3, b = 2

Schritte zur Lösung

4 x^{2} + 9 y^{2} - 8 x - 32 = 0

Rewrite

4 x^{2} + 9 y^{2} - 8 x - 32 = 0

in the form of the standard ellipse equation

\frac{( x - 1 ) ^{2}}{3 ^{2}} + \frac{( y - 0 ) ^{2}}{2 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (1, 0), a = 3, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (1, 0), a = 3, b = 2

Graph

Beliebte Beispiele

4x^2+9y^2-64x+54y+301=0

4 x^{2} + 9 y^{2} - 64 x + 54 y + 301 = 0

6.25x^2+16y^2-12.5x+64y-29.75=0

6.25 x^{2} + 16 y^{2} - 12.5 x + 64 y - 29.75 = 0

4x^2+25y^2+4x-120y+45=0

4 x^{2} + 25 y^{2} + 4 x - 120 y + 45 = 0

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

64x^2+25y^2-16x-16y-648=0

64 x^{2} + 25 y^{2} - 16 x - 16 y - 648 = 0