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Beliebt Geometry >

6x^2+10x+y^2=0

Lösung

6 x^{2} + 10 x + y^{2} = 0

Lösung

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

Schritte zur Lösung

6 x^{2} + 10 x + y^{2} = 0

Rewrite

6 x^{2} + 10 x + y^{2} = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

27x^2-54x+48y^2-192y-213=0

27 x^{2} - 54 x + 48 y^{2} - 192 y - 213 = 0

((x-5)^2)/4+((y-4)^2)/(16)=1

\frac{( x - 5 ) ^{2}}{4} + \frac{( y - 4 ) ^{2}}{16} = 1

((x+3)^2)/4+(4y^2)/9 =1

\frac{( x + 3 ) ^{2}}{4} + \frac{4 y ^{2}}{9} = 1

9(y^2+6y+9)+16(x^2-4x+4)=81+64

9 (y^{2} + 6 y + 9) + 16 (x^{2} - 4 x + 4) = 81 + 64

((x-h)^2)/(b^2)+((y-k)^2)/(a^2)=1

\frac{( x - h ) ^{2}}{b ^{2}} + \frac{( y - k ) ^{2}}{a ^{2}} = 1