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Beliebt Geometry >

25x^2+36y^2-350x+350=0

Lösung

25 x^{2} + 36 y^{2} - 350 x + 350 = 0

Lösung

(h, k) = (7, 0), a = 35, b = \frac{5 35}{6}

Schritte zur Lösung

25 x^{2} + 36 y^{2} - 350 x + 350 = 0

Rewrite

25 x^{2} + 36 y^{2} - 350 x + 350 = 0

in the form of the standard ellipse equation

\frac{( x - 7 ) ^{2}}{( 35 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{5 35}{6} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (7, 0), a = 35, b = \frac{5 35}{6}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (7, 0), a = 35, b = \frac{5 35}{6}

Graph

Beliebte Beispiele

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

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

15x^2+15y^2+16y>= 0

15 x^{2} + 15 y^{2} + 16 y \geq 0

((y-3)^2)/(64)+((x+5)^2)/(81)=1

\frac{( y - 3 ) ^{2}}{64} + \frac{( x + 5 ) ^{2}}{81} = 1

4 - 4 x^{2} - y^{2} \geq 0

x^{2} + 5 y^{2} = 20