What is (x^2)/(1.587^2)+(y^2)/(0.99^2)=1 ?

The solution to (x^2)/(1.587^2)+(y^2)/(0.99^2)=1 is Ellipse with (h,k)=(0,0),a=1.587,b=0.99

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(x^2)/(1.587^2)+(y^2)/(0.99^2)=1

\frac{x ^{2}}{1.58 7 ^{2}} + \frac{y ^{2}}{0.9 9 ^{2}} = 1

(h, k) = (0, 0), a = 1.587, b = 0.99

Solution steps

\frac{x ^{2}}{1.58 7 ^{2}} + \frac{y ^{2}}{0.9 9 ^{2}} = 1

Rewrite

\frac{x ^{2}}{1.58 7 ^{2}} + \frac{y ^{2}}{0.9 9 ^{2}} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{1.58 7 ^{2}} + \frac{( y - 0 ) ^{2}}{0.9 9 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 1.587, b = 0.99

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 1.587, b = 0.99

9 \cdot (x - 1)^{2} + 4 \cdot y^{2} = 36

4 x^{2} + 9 y^{2} - 144 = 0

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

\frac{1}{4 x ^{2} + y ^{2}} = 1

4 x^{2} + y^{2} + 8 x > 0

What is (x^2)/(1.587^2)+(y^2)/(0.99^2)=1 ?
The solution to (x^2)/(1.587^2)+(y^2)/(0.99^2)=1 is Ellipse with (h,k)=(0,0),a=1.587,b=0.99