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Beliebt Geometry >

7x^2+5y^2=1

Lösung

7 x^{2} + 5 y^{2} = 1

Lösung

(h, k) = (0, 0), a = \frac{1}{7}, b = \frac{1}{5}

Schritte zur Lösung

7 x^{2} + 5 y^{2} = 1

Rewrite

7 x^{2} + 5 y^{2} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{1}{7} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{1}{5} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{1}{7}, b = \frac{1}{5}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = \frac{1}{5}, a = \frac{1}{7}

Graph

Beliebte Beispiele

4x^2-6x+y^2+2y=-1

4 x^{2} - 6 x + y^{2} + 2 y = - 1

x^2+6x+9y^2-36y+36=0

x^{2} + 6 x + 9 y^{2} - 36 y + 36 = 0

((x+5)^2)/(25)+((y+1)^2)/(36)=1

\frac{( x + 5 ) ^{2}}{25} + \frac{( y + 1 ) ^{2}}{36} = 1

- 8 = 4 - 4 x^{2} - y^{2}

4x^2+9y^2+16x+18y-11=0

4 x^{2} + 9 y^{2} + 16 x + 18 y - 11 = 0