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Beliebt Geometry >

2(1+2y)(y-2)=-(2x-3)(x-7)

Lösung

2 (1 + 2 y) (y - 2) = - (2 x - 3) (x - 7)

Lösung

(h, k) = (\frac{17}{4}, \frac{3}{4}), a = \frac{3 19}{4}, b = \frac{3 19}{4 2}

Schritte zur Lösung

2 (1 + 2 y) (y - 2) = - (2 x - 3) (x - 7)

Rewrite

2 (1 + 2 y) (y - 2) + (2 x - 3) (x - 7) = 0

in the form of the standard ellipse equation

\frac{( x - \frac{17}{4} ) ^{2}}{( \frac{3 19}{4} ) ^{2}} + \frac{( y - \frac{3}{4} ) ^{2}}{( \frac{3 19}{4 2} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (\frac{17}{4}, \frac{3}{4}), a = \frac{3 19}{4}, b = \frac{3 19}{4 2}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (\frac{17}{4}, \frac{3}{4}), a = \frac{3 19}{4}, b = \frac{3 19}{4 2}

Graph

Beliebte Beispiele

((x+1)^2)/(25)+((y-3)^2)/(36)=1

\frac{( x + 1 ) ^{2}}{25} + \frac{( y - 3 ) ^{2}}{36} = 1

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

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

(x^2+10x)+(4y^2+9y)=7

(x^{2} + 10 x) + (4 y^{2} + 9 y) = 7

9 x^{2} + 25 y^{2} = 400

(12(x-1)^2)/(24)+(3y^2)/(24)= 24/24

\frac{12 ( x - 1 ) ^{2}}{24} + \frac{3 y ^{2}}{24} = \frac{24}{24}