de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

2x^2+y^2+x+y=0

Lösung

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

Lösung

(h, k) = (- \frac{1}{4}, - \frac{1}{2}), a = \frac{3}{4}, b = \frac{3}{2 2}

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- \frac{1}{4}, - \frac{1}{2}), a = \frac{3}{4}, b = \frac{3}{2 2}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- \frac{1}{4}, - \frac{1}{2}), b = \frac{3}{2 2}, a = \frac{3}{4}

Graph

Beliebte Beispiele

9x^2+18x+25y^2-100y=116

9 x^{2} + 18 x + 25 y^{2} - 100 y = 116

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

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

(x^2+y^2-16x+8y+80)=4x^2+4y^2-16x-32y+80

(x^{2} + y^{2} - 16 x + 8 y + 80) = 4 x^{2} + 4 y^{2} - 16 x - 32 y + 80

solvefor x,(x-k(x)^2)=k(x)^2+2x+x^2

so l v e f or x, (x - k (x)^{2}) = k (x)^{2} + 2 x + x^{2}

7x+14y-8x^2-8y^2=15

7 x + 14 y - 8 x^{2} - 8 y^{2} = 15