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Beliebt Geometry >

x^2+2z^2+10x-16z+1=0

Lösung

x^{2} + 2 z^{2} + 10 x - 16 z + 1 = 0

Lösung

(h, k) = (- 5, 4), a = 214, b = 27

Schritte zur Lösung

x^{2} + 2 z^{2} + 10 x - 16 z + 1 = 0

Rewrite

x^{2} + 2 z^{2} + 10 x - 16 z + 1 = 0

in the form of the standard ellipse equation

\frac{( x - ( - 5 ) ) ^{2}}{( 2 14 ) ^{2}} + \frac{( z - 4 ) ^{2}}{( 2 7 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 5, 4), a = 214, b = 27

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 5, 4), a = 214, b = 27

Graph

Beliebte Beispiele

9x^2+4y^2-18x+24y=36

9 x^{2} + 4 y^{2} - 18 x + 24 y = 36

-1=(((x-0))/(1^2))^2+(((y-1))/(1^2))^2

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

((x+2)^2}{36}+\frac{(y+5)^2)/9 =1

\frac{( x + 2 ) ^{2}}{36} + \frac{( y + 5 ) ^{2}}{9} = 1

16x^2+9y^2-32x+18y-119=0

16 x^{2} + 9 y^{2} - 32 x + 18 y - 119 = 0

16x^2+36y^2+112x-108y+133=0

16 x^{2} + 36 y^{2} + 112 x - 108 y + 133 = 0