What is 36x^2+16y^2+144x-160y-32=0 ?

The solution to 36x^2+16y^2+144x-160y-32=0 is Ellipse with (h,k)=(-2,5),a=4,b=6

Popular >

36x^2+16y^2+144x-160y-32=0

36 x^{2} + 16 y^{2} + 144 x - 160 y - 32 = 0

(h, k) = (- 2, 5), a = 4, b = 6

Solution steps

36 x^{2} + 16 y^{2} + 144 x - 160 y - 32 = 0

Rewrite

36 x^{2} + 16 y^{2} + 144 x - 160 y - 32 = 0

in the form of the standard ellipse equation

\frac{( x - ( - 2 ) ) ^{2}}{4 ^{2}} + \frac{( y - 5 ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 2, 5), a = 4, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 2, 5), b = 6, a = 4

9 x^{2} + 49 y^{2} - 114 x + 490 y + 1360 = 0

x^{2} + 4 z^{2} = 4

\frac{( x - 2 ) ^{2}}{25} + \frac{( v + 3 ) ^{2}}{9} = 1

\frac{( x + 1 ) ^{2}}{9} + \frac{( y - 2 ) ^{2}}{8 ^{2}} = 1

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

What is 36x^2+16y^2+144x-160y-32=0 ?
The solution to 36x^2+16y^2+144x-160y-32=0 is Ellipse with (h,k)=(-2,5),a=4,b=6