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Beliebt Geometry >

49x^2+16y^2+98x-64y-671=0

Lösung

49 x^{2} + 16 y^{2} + 98 x - 64 y - 671 = 0

Lösung

(h, k) = (- 1, 2), a = 4, b = 7

Schritte zur Lösung

49 x^{2} + 16 y^{2} + 98 x - 64 y - 671 = 0

Rewrite

49 x^{2} + 16 y^{2} + 98 x - 64 y - 671 = 0

in the form of the standard ellipse equation

\frac{( x - ( - 1 ) ) ^{2}}{4 ^{2}} + \frac{( y - 2 ) ^{2}}{7 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 1, 2), a = 4, b = 7

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 1, 2), b = 7, a = 4

Graph

Beliebte Beispiele

18 x^{2} + 9 y^{2} = 9

(4x^2)+(y^2)-8x-4y-28=0

(4 x^{2}) + (y^{2}) - 8 x - 4 y - 28 = 0

112x^2+144y^2-896x+864y=-2080

112 x^{2} + 144 y^{2} - 896 x + 864 y = - 2080

9 = 4 x^{2} + z^{2}

(x^2)/4+(y^2)/6 =1

\frac{x ^{2}}{4} + \frac{y ^{2}}{6} = 1