What is (x-5)^2+2(y-6)^2=36 ?

The solution to (x-5)^2+2(y-6)^2=36 is Ellipse with (h,k)=(5,6),a=6,b=3sqrt(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x-5)^2+2(y-6)^2=36

(x - 5)^{2} + 2 (y - 6)^{2} = 36

(h, k) = (5, 6), a = 6, b = 32

Solution steps

(x - 5)^{2} + 2 (y - 6)^{2} = 36

Rewrite

(x - 5)^{2} + 2 (y - 6)^{2} = 36

in the form of the standard ellipse equation

\frac{( x - 5 ) ^{2}}{6 ^{2}} + \frac{( y - 6 ) ^{2}}{( 3 2 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (5, 6), a = 6, b = 32

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (5, 6), a = 6, b = 32

9 y^{2} = 144 - 16 x^{2}

x^{2} + 4 y^{2} + 10 x + 9 y - 7 = 0

16 x^{2} + 9 y^{2} - 32 x + 90 y + 145 = 0

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

\frac{( x - 2 ) ^{2}}{64} + \frac{( y - 4 ) ^{2}}{16} = 1

What is (x-5)^2+2(y-6)^2=36 ?
The solution to (x-5)^2+2(y-6)^2=36 is Ellipse with (h,k)=(5,6),a=6,b=3sqrt(2)