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Beliebt Geometry >

36x^2+16y^2=49

Lösung

36 x^{2} + 16 y^{2} = 49

Lösung

(h, k) = (0, 0), a = \frac{7}{6}, b = \frac{7}{4}

Schritte zur Lösung

36 x^{2} + 16 y^{2} = 49

Rewrite

36 x^{2} + 16 y^{2} = 49

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{7}{6} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{7}{4} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{7}{6}, b = \frac{7}{4}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = \frac{7}{4}, a = \frac{7}{6}

Graph

Beliebte Beispiele

81X^2+49Y^2=3969

81 X^{2} + 49 Y^{2} = 3969

((x-5)^2)/4+((y+2)^2)/1 =1

\frac{( x - 5 ) ^{2}}{4} + \frac{( y + 2 ) ^{2}}{1} = 1

(8x^2-12x+8y^2+20y+17)/8-2=0

\frac{8 x ^{2} - 12 x + 8 y ^{2} + 20 y + 17}{8} - 2 = 0

16x^2+25y^2-32x-100y-284=0

16 x^{2} + 25 y^{2} - 32 x - 100 y - 284 = 0

9x^2-54x+4y^2-8y-59=0

9 x^{2} - 54 x + 4 y^{2} - 8 y - 59 = 0