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Beliebt Geometry >

-2x^2-8x-y^2+16y=52

Lösung

- 2 x^{2} - 8 x - y^{2} + 16 y = 52

Lösung

(h, k) = (- 2, 8), a = 10, b = 25

Schritte zur Lösung

- 2 x^{2} - 8 x - y^{2} + 16 y = 52

Rewrite

- 2 x^{2} - 8 x - y^{2} + 16 y = 52

in the form of the standard ellipse equation

\frac{( x - ( - 2 ) ) ^{2}}{( 10 ) ^{2}} + \frac{( y - 8 ) ^{2}}{( 2 5 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 2, 8), a = 10, b = 25

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 2, 8), b = 25, a = 10

Graph

Beliebte Beispiele

9x^2+4y^2-90x+32y+145=0

9 x^{2} + 4 y^{2} - 90 x + 32 y + 145 = 0

((x-2.22)^2)/(2.54)+(y^2)/(1.11)=2

\frac{( x - 2.22 ) ^{2}}{2.54} + \frac{y ^{2}}{1.11} = 2

25x^2+16y^2-100x-64y-236=0

25 x^{2} + 16 y^{2} - 100 x - 64 y - 236 = 0

12x-5y+10x^2+25=(-(100y^2))/(10+3)

12 x - 5 y + 10 x^{2} + 25 = \frac{- ( 100 y ^{2} )}{10 + 3}

(16-x^2-9y^2)=-1

(16 - x^{2} - 9 y^{2}) = - 1