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Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (0, 0), a = \frac{4}{3}, b = 2

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{4}{3} ) ^{2}} + \frac{( y - 0 ) ^{2}}{2 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{4}{3}, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = \frac{4}{3}, b = 2

Graph

Beliebte Beispiele

2 \cdot x^{2} + y^{2} = 6

20x^2+36y^2=405

20 x^{2} + 36 y^{2} = 405

x/(x^2+y^2)= 3/4

\frac{x}{x ^{2} + y ^{2}} = \frac{3}{4}

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

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

36X^2+25Y^2=900

36 X^{2} + 25 Y^{2} = 900