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Beliebt Geometry >

64x^2+49y^2=3136

Lösung

64 x^{2} + 49 y^{2} = 3136

Lösung

(h, k) = (0, 0), a = 7, b = 8

Schritte zur Lösung

64 x^{2} + 49 y^{2} = 3136

Rewrite

64 x^{2} + 49 y^{2} = 3136

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{7 ^{2}} + \frac{( y - 0 ) ^{2}}{8 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 7, b = 8

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 8, a = 7

Graph

Beliebte Beispiele

(x^2)/(49)+(y^2)/(64)=1

\frac{x ^{2}}{49} + \frac{y ^{2}}{64} = 1

4x^2+25y^2+40x-150y+225=0

4 x^{2} + 25 y^{2} + 40 x - 150 y + 225 = 0

4(x-5)^2+9(y+2)^2=36

4 (x - 5)^{2} + 9 (y + 2)^{2} = 36

3x^2+4y^2-28x-16y+48=0

3 x^{2} + 4 y^{2} - 28 x - 16 y + 48 = 0

((x+3)^2)/4+((y-3)^2)/(16)=1

\frac{( x + 3 ) ^{2}}{4} + \frac{( y - 3 ) ^{2}}{16} = 1