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Popular >

36x^2+16y^2-576=0

Solution

36 x^{2} + 16 y^{2} - 576 = 0

Solution

(h, k) = (0, 0), a = 4, b = 6

Solution steps

36 x^{2} + 16 y^{2} - 576 = 0

Rewrite

36 x^{2} + 16 y^{2} - 576 = 0

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{4 ^{2}} + \frac{( y - 0 ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 4, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 6, a = 4

Popular Examples

(x^2)/9+(2x)/3+16y^2-64y+569/9 =0

\frac{x ^{2}}{9} + \frac{2 x}{3} + 16 y^{2} - 64 y + \frac{569}{9} = 0

((x-2)^2)/4+((y+1)^2)/(16)=1

\frac{( x - 2 ) ^{2}}{4} + \frac{( y + 1 ) ^{2}}{16} = 1

(((x+0)^2))/(20)+(((y+0)^2))/(16)=1

\frac{( ( x + 0 ) ^{2} )}{20} + \frac{( ( y + 0 ) ^{2} )}{16} = 1

x^2+4y^2-4x-8y=0

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

x=(x^2}{16}+\frac{z^2)/9

x = \frac{x ^{2}}{16} + \frac{z ^{2}}{9}

Frequently Asked Questions (FAQ)

What is 36x^2+16y^2-576=0 ?
The solution to 36x^2+16y^2-576=0 is Ellipse with (h,k)=(0,0),a=4,b=6