What is 100x^2+64y^2-100x-1575=0 ?

The solution to 100x^2+64y^2-100x-1575=0 is Ellipse with (h,k)=(1/2 ,0),a=4,b=5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

100x^2+64y^2-100x-1575=0

100 x^{2} + 64 y^{2} - 100 x - 1575 = 0

(h, k) = (\frac{1}{2}, 0), a = 4, b = 5

Solution steps

100 x^{2} + 64 y^{2} - 100 x - 1575 = 0

Rewrite

100 x^{2} + 64 y^{2} - 100 x - 1575 = 0

in the form of the standard ellipse equation

\frac{( x - \frac{1}{2} ) ^{2}}{4 ^{2}} + \frac{( y - 0 ) ^{2}}{5 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (\frac{1}{2}, 0), a = 4, b = 5

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (\frac{1}{2}, 0), b = 5, a = 4

x^{2} + \frac{y ^{2}}{29} = 1

100 (x^{2} - x) + 16 (y^{2} - 4 y) = 147

14 x^{2} + 9 y^{2} = 126

3 x^{2} + 2 y^{2} - 18 = 0

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

What is 100x^2+64y^2-100x-1575=0 ?
The solution to 100x^2+64y^2-100x-1575=0 is Ellipse with (h,k)=(1/2 ,0),a=4,b=5