What is 25x^2-100x+36y^2-72y=-36 ?

The solution to 25x^2-100x+36y^2-72y=-36 is Ellipse with (h,k)=(2,1),a=2,b= 5/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

25x^2-100x+36y^2-72y=-36

25 x^{2} - 100 x + 36 y^{2} - 72 y = - 36

(h, k) = (2, 1), a = 2, b = \frac{5}{3}

Solution steps

25 x^{2} - 100 x + 36 y^{2} - 72 y = - 36

Rewrite

25 x^{2} - 100 x + 36 y^{2} - 72 y = - 36

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (2, 1), a = 2, b = \frac{5}{3}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (2, 1), a = 2, b = \frac{5}{3}

x^{2} + y^{2} \leq y

x^{2} + \frac{y ^{2}}{100} = 1

\frac{x ^{2}}{64} + \frac{y ^{2}}{15} = 1

\frac{x ^{2}}{3} + \frac{y ^{2}}{9} = 1

25 x^{2} + 9 y^{2} - 150 x - 18 y + 9 = 0

What is 25x^2-100x+36y^2-72y=-36 ?
The solution to 25x^2-100x+36y^2-72y=-36 is Ellipse with (h,k)=(2,1),a=2,b= 5/3