What is 9x^2+64y^2=1 ?

The solution to 9x^2+64y^2=1 is Ellipse with (h,k)=(0,0),a= 1/3 ,b= 1/8

Popular >

9x^2+64y^2=1

9 x^{2} + 64 y^{2} = 1

(h, k) = (0, 0), a = \frac{1}{3}, b = \frac{1}{8}

Solution steps

9 x^{2} + 64 y^{2} = 1

Rewrite

9 x^{2} + 64 y^{2} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{1}{3} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{1}{8} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{1}{3}, b = \frac{1}{8}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = \frac{1}{3}, b = \frac{1}{8}

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

y + 2 = \frac{6 - ( \frac{6 y + 2 x}{2 + y} )}{2} x

42 x^{2} + 49 y^{2} = 4

\frac{x ^{2}}{C 1 ^{2}} = 1 - \frac{y ^{2}}{C 2 ^{2}}

\frac{( x - 1 ) ^{2}}{169} + \frac{( y - 4 ) ^{2}}{144} = 1

What is 9x^2+64y^2=1 ?
The solution to 9x^2+64y^2=1 is Ellipse with (h,k)=(0,0),a= 1/3 ,b= 1/8