What is x^264+y^249=1 ?

The solution to x^264+y^249=1 is Ellipse with (h,k)=(0,0),a= 1/8 ,b= 1/7

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x^264+y^249=1

x^{2} 64 + y^{2} 49 = 1

(h, k) = (0, 0), a = \frac{1}{8}, b = \frac{1}{7}

Solution steps

x^{2} \cdot 64 + y^{2} \cdot 49 = 1

Rewrite

x^{2} 64 + y^{2} 49 = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{1}{8} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{1}{7} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{1}{8}, b = \frac{1}{7}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = \frac{1}{7}, a = \frac{1}{8}

What is x^264+y^249=1 ?
The solution to x^264+y^249=1 is Ellipse with (h,k)=(0,0),a= 1/8 ,b= 1/7