What is the foci (x^2)/(0.381^2)+(y^2)/(0.3728^2)=1 ?

The foci (x^2)/(0.381^2)+(y^2)/(0.3728^2)=1 is (0.07862…,0),(-0.07862…,0)

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foci (x^2)/(0.381^2)+(y^2)/(0.3728^2)=1

foci

\frac{x ^{2}}{0.38 1 ^{2}} + \frac{y ^{2}}{0.372 8 ^{2}} = 1

(0.07862 \dots, 0), (- 0.07862 \dots, 0)

Solution steps

(h + c, k), (h - c, k)

Calculate ellipse properties

\frac{x ^{2}}{0.38 1 ^{2}} + \frac{y ^{2}}{0.372 8 ^{2}} = 1 :

Ellipse with center

(h, k) = (0, 0), a = 0.381, b = 0.3728

(0 + c, 0), (0 - c, 0)

Compute

c :

c = 0.38 1^{2} - 0.372 8^{2} : 0.07862 \dots

(0 + 0.07862 \dots, 0), (0 - 0.07862 \dots, 0)

Refine

(0.07862 \dots, 0), (- 0.07862 \dots, 0)

25 x^{2} + 9 y^{2} + 150 x = 0

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

\frac{( x + 3 ) ^{2}}{4} + \frac{( y - 2 ) ^{2}}{16} = 1

\frac{( x - 6 ) ^{2}}{36} + \frac{( y + 4 ) ^{2}}{16} = 1

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

What is the foci (x^2)/(0.381^2)+(y^2)/(0.3728^2)=1 ?
The foci (x^2)/(0.381^2)+(y^2)/(0.3728^2)=1 is (0.07862…,0),(-0.07862…,0)