What is y^2=16-6x^2 ?

The solution to y^2=16-6x^2 is Ellipse with (h,k)=(0,0),a=(2sqrt(2))/(sqrt(3)),b=4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^2=16-6x^2

y^{2} = 16 - 6 x^{2}

(h, k) = (0, 0), a = \frac{2 2}{3}, b = 4

Solution steps

y^{2} = 16 - 6 x^{2}

Rewrite

y^{2} = 16 - 6 x^{2}

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{2 2}{3} ) ^{2}} + \frac{( y - 0 ) ^{2}}{4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{2 2}{3}, b = 4

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 4, a = \frac{2 2}{3}

x^{2} + 9 y^{2} = 144

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

12 x^{2} - 22 x + 16 y^{2} = 9

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

9 x^{2} + 36 y^{2} + 54 x - 288 y + 333 = 0

What is y^2=16-6x^2 ?
The solution to y^2=16-6x^2 is Ellipse with (h,k)=(0,0),a=(2sqrt(2))/(sqrt(3)),b=4