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Beliebt Geometry >

2x^2-9x+4y^2+8x=16

Lösung

2 x^{2} - 9 x + 4 y^{2} + 8 x = 16

Lösung

(h, k) = (\frac{1}{4}, 0), a = \frac{129}{4}, b = \frac{129}{4 2}

Schritte zur Lösung

2 x^{2} - 9 x + 4 y^{2} + 8 x = 16

Rewrite

2 x^{2} - 9 x + 4 y^{2} + 8 x = 16

in the form of the standard ellipse equation

\frac{( x - \frac{1}{4} ) ^{2}}{( \frac{129}{4} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{129}{4 2} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (\frac{1}{4}, 0), a = \frac{129}{4}, b = \frac{129}{4 2}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (\frac{1}{4}, 0), a = \frac{129}{4}, b = \frac{129}{4 2}

Graph

Beliebte Beispiele

20 x^{2} + 9 y^{2} = 225

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

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

(((x+5)^2)}{10}+\frac{((y+4)^2))/8 =1

\frac{( ( x + 5 ) ^{2} )}{10} + \frac{( ( y + 4 ) ^{2} )}{8} = 1

3 x^{2} + y^{2} = 25

2x^2+9y^2-12x-18y+9=0

2 x^{2} + 9 y^{2} - 12 x - 18 y + 9 = 0