What is (x^2}{(1.587)^2}+\frac{y^2)/1 =1 ?

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

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(x^2}{(1.587)^2}+\frac{y^2)/1 =1

\frac{x ^{2}}{( 1.587 ) ^{2}} + \frac{y ^{2}}{1} = 1

(h, k) = (0, 0), a = 1.587, b = 1

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 1.587, b = 1

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 = 1

\frac{4}{3} x^{2} + \frac{4}{3} y^{2} = (x - 2)^{2}

9 x^{2} + 25 y^{2} + 36 x - 100 y - 89 = 0

\frac{( x - 3 ) ^{2}}{16} + \frac{( y - 3 ) ^{2}}{25} = 1

(x - 3)^{2} + (\frac{y}{4})^{2} = 1

5 x^{2} + 8 y^{2} = 40

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