What is 9x^2+4y^2-54x-8y-59=0 ?

The solution to 9x^2+4y^2-54x-8y-59=0 is Ellipse with (h,k)=(3,1),a=4,b=6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9x^2+4y^2-54x-8y-59=0

9 x^{2} + 4 y^{2} - 54 x - 8 y - 59 = 0

(h, k) = (3, 1), a = 4, b = 6

Solution steps

9 x^{2} + 4 y^{2} - 54 x - 8 y - 59 = 0

Rewrite

9 x^{2} + 4 y^{2} - 54 x - 8 y - 59 = 0

in the form of the standard ellipse equation

\frac{( x - 3 ) ^{2}}{4 ^{2}} + \frac{( y - 1 ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (3, 1), a = 4, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (3, 1), b = 6, a = 4

9 x^{2} + 4 y^{2} = 144

64 x^{2} + 81 y^{2} - 1024 x + 1458 y + 5473 = 0

x^{2} + 16 y^{2} - 10 x + 64 y + 73 = 0

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

x^{2} + 2 y^{2} = 30

What is 9x^2+4y^2-54x-8y-59=0 ?
The solution to 9x^2+4y^2-54x-8y-59=0 is Ellipse with (h,k)=(3,1),a=4,b=6