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Beliebt Geometry >

9x^2+25y^2+108x-200y+4=0

Lösung

9 x^{2} + 25 y^{2} + 108 x - 200 y + 4 = 0

Lösung

(h, k) = (- 6, 4), a = 45, b = \frac{12}{5}

Schritte zur Lösung

9 x^{2} + 25 y^{2} + 108 x - 200 y + 4 = 0

Rewrite

9 x^{2} + 25 y^{2} + 108 x - 200 y + 4 = 0

in the form of the standard ellipse equation

\frac{( x - ( - 6 ) ) ^{2}}{( 4 5 ) ^{2}} + \frac{( y - 4 ) ^{2}}{( \frac{12}{5} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 6, 4), a = 45, b = \frac{12}{5}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 6, 4), a = 45, b = \frac{12}{5}

Graph

Beliebte Beispiele

9x^2+16y^2+18x-32y-119=0

9 x^{2} + 16 y^{2} + 18 x - 32 y - 119 = 0

(x^2)/(16)+((y-1)^2)/(36)=1

\frac{x ^{2}}{16} + \frac{( y - 1 ) ^{2}}{36} = 1

solvefor x,x^2+5Y(x)^2+2x-30Y+36=0

so l v e f or x, x^{2} + 5 Y (x)^{2} + 2 x - 30 Y + 36 = 0

((x-2)^2)/9+((y-3)^2)/(49)=1

\frac{( x - 2 ) ^{2}}{9} + \frac{( y - 3 ) ^{2}}{49} = 1

((x-1)^2)/8+((y+3/2)^2)/4 =1

\frac{( x - 1 ) ^{2}}{8} + \frac{( y + \frac{3}{2} ) ^{2}}{4} = 1