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Beliebt Geometry >

((x-sqrt(2))^2)/6+((y-6sqrt(2))^2)/8 =1

Lösung

\frac{( x - 2 ) ^{2}}{6} + \frac{( y - 6 2 ) ^{2}}{8} = 1

Lösung

(h, k) = (2, 62), a = 6, b = 22

Schritte zur Lösung

\frac{( x - 2 ) ^{2}}{6} + \frac{( y - 6 2 ) ^{2}}{8} = 1

Rewrite

\frac{( x - 2 ) ^{2}}{6} + \frac{( y - 6 2 ) ^{2}}{8} = 1

in the form of the standard ellipse equation

\frac{( x - 2 ) ^{2}}{( 6 ) ^{2}} + \frac{( y - 6 2 ) ^{2}}{( 2 2 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (2, 62), a = 6, b = 22

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (2, 62), b = 22, a = 6

Graph

Beliebte Beispiele

x^2+64x+9y^2+162y+949=0

x^{2} + 64 x + 9 y^{2} + 162 y + 949 = 0

((x+3)^2)/(21)+((y-6)^2)/(25)=1

\frac{( x + 3 ) ^{2}}{21} + \frac{( y - 6 ) ^{2}}{25} = 1

9x^2+25y^2+18x+100y-116=0

9 x^{2} + 25 y^{2} + 18 x + 100 y - 116 = 0

x^{(2)}+4x+4y^{(2)}-6y+9=3

x^{(2)} + 4 x + 4 y^{(2)} - 6 y + 9 = 3

((x-5)^2)/9+((y-1)^2)/(25)=1

\frac{( x - 5 ) ^{2}}{9} + \frac{( y - 1 ) ^{2}}{25} = 1