What is 16x^2+36y^2=49 ?

The solution to 16x^2+36y^2=49 is Ellipse with (h,k)=(0,0),a= 7/4 ,b= 7/6

Popular >

16x^2+36y^2=49

16 x^{2} + 36 y^{2} = 49

(h, k) = (0, 0), a = \frac{7}{4}, b = \frac{7}{6}

Solution steps

16 x^{2} + 36 y^{2} = 49

Rewrite

16 x^{2} + 36 y^{2} = 49

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{7}{4} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{7}{6} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{7}{4}, b = \frac{7}{6}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = \frac{7}{4}, b = \frac{7}{6}

\frac{( x + 1.23 ) ^{2}}{1.5 9 ^{2}} + \frac{y ^{2}}{1.0 1 ^{2}} = 1

\frac{x ^{2}}{12} + \frac{y ^{2}}{9} = 1

5 x^{2} + 6 y^{2} - 30 x - 24 y + 39 = 0

3 x^{(2)} + 7 y^{(2)} - 12 x - 28 y + 19 = 0

0 = x^{2} + y^{2} + 6 y

What is 16x^2+36y^2=49 ?
The solution to 16x^2+36y^2=49 is Ellipse with (h,k)=(0,0),a= 7/4 ,b= 7/6