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Beliebt Geometry >

5x^2+9y^2-80x+54y+221=0

Lösung

5 x^{2} + 9 y^{2} - 80 x + 54 y + 221 = 0

Lösung

(h, k) = (8, - 3), a = 6, b = 25

Schritte zur Lösung

5 x^{2} + 9 y^{2} - 80 x + 54 y + 221 = 0

Rewrite

5 x^{2} + 9 y^{2} - 80 x + 54 y + 221 = 0

in the form of the standard ellipse equation

\frac{( x - 8 ) ^{2}}{6 ^{2}} + \frac{( y - ( - 3 ) ) ^{2}}{( 2 5 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (8, - 3), a = 6, b = 25

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (8, - 3), a = 6, b = 25

Graph

Beliebte Beispiele

25x^2+16y^2+100x-96y-154=0

25 x^{2} + 16 y^{2} + 100 x - 96 y - 154 = 0

49x^2+25y^2-1225=0

49 x^{2} + 25 y^{2} - 1225 = 0

15x^2+12y^2+30x-24y=150

15 x^{2} + 12 y^{2} + 30 x - 24 y = 150

2x^2+5y^2-4x+y-6=0

2 x^{2} + 5 y^{2} - 4 x + y - 6 = 0

((x-2.63)^2)/(1.34)+(y^2)/(3.22)-1=1

\frac{( x - 2.63 ) ^{2}}{1.34} + \frac{y ^{2}}{3.22} - 1 = 1