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Beliebt Geometry >

16x^2+9y^2=1

Lösung

16 x^{2} + 9 y^{2} = 1

Lösung

(h, k) = (0, 0), a = \frac{1}{4}, b = \frac{1}{3}

Schritte zur Lösung

16 x^{2} + 9 y^{2} = 1

Rewrite

16 x^{2} + 9 y^{2} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{1}{4}, b = \frac{1}{3}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = \frac{1}{3}, a = \frac{1}{4}

Graph

Beliebte Beispiele

7x^2+16y^2-28x+128y+172=0

7 x^{2} + 16 y^{2} - 28 x + 128 y + 172 = 0

x^2-16x+4y^2-12y+16=0

x^{2} - 16 x + 4 y^{2} - 12 y + 16 = 0

5 x^{2} + 3 y^{2} - 15 = 0

(y^2)/(b^2)=1-(x^2)/(a^2)

\frac{y ^{2}}{b ^{2}} = 1 - \frac{x ^{2}}{a ^{2}}

-1(-4x^2-y^2+16)>=-1(0)

- 1 (- 4 x^{2} - y^{2} + 16) \geq - 1 (0)