What is 25y^2+16x^2+50y-64x-311=0 ?

The solution to 25y^2+16x^2+50y-64x-311=0 is Ellipse with (h,k)=(2,-1),a=5,b=4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

25y^2+16x^2+50y-64x-311=0

25 y^{2} + 16 x^{2} + 50 y - 64 x - 311 = 0

(h, k) = (2, - 1), a = 5, b = 4

Solution steps

25 y^{2} + 16 x^{2} + 50 y - 64 x - 311 = 0

Rewrite

25 y^{2} + 16 x^{2} + 50 y - 64 x - 311 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (2, - 1), a = 5, b = 4

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (2, - 1), a = 5, b = 4

25 x^{2} + 100 y^{2} = 400

4 x^{2} + 9 y^{2} - 8 x + 3 y + 4 = 0

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

x^{2} + 4 y^{2} + 4 x - 12 = 0

12 x^{2} + 5 y^{2} - 60 = 0

What is 25y^2+16x^2+50y-64x-311=0 ?
The solution to 25y^2+16x^2+50y-64x-311=0 is Ellipse with (h,k)=(2,-1),a=5,b=4