What is 16x^2-64x+25y^2+100y=236 ?

The solution to 16x^2-64x+25y^2+100y=236 is Ellipse with (h,k)=(2,-2),a=5,b=4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

16x^2-64x+25y^2+100y=236

16 x^{2} - 64 x + 25 y^{2} + 100 y = 236

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

Solution steps

16 x^{2} - 64 x + 25 y^{2} + 100 y = 236

Rewrite

16 x^{2} - 64 x + 25 y^{2} + 100 y = 236

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

9 x^{2} + 11 y^{2} = 10

16 x^{2} + 36 y^{2} + 32 x + 72 y - 524 = 0

\frac{1}{3} 3 x^{2} + 3 y^{2} - 8 x - 8 y \cdot 31 = 0

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

49 x^{2} + 16 y^{2} - 588 x + 128 y + 1236 = 0

What is 16x^2-64x+25y^2+100y=236 ?
The solution to 16x^2-64x+25y^2+100y=236 is Ellipse with (h,k)=(2,-2),a=5,b=4