What is -1.14y^2=52.3+x^2 ?

The solution to -1.14y^2=52.3+x^2 is Ellipse with (h,k)=(0,0),a=7.23187…,b=6.77327…

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-1.14y^2=52.3+x^2

- 1.14 y^{2} = 52.3 + x^{2}

(h, k) = (0, 0), a = 7.23187 \dots, b = 6.77327 \dots

Solution steps

- 1.14 y^{2} = 52.3 + x^{2}

Rewrite

- 1.14 y^{2} = 52.3 + x^{2}

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{7.23187 \dots ^{2}} + \frac{( y - 0 ) ^{2}}{6.77327 \dots ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 7.23187 \dots, b = 6.77327 \dots

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 7.23187 \dots, b = 6.77327 \dots

What is -1.14y^2=52.3+x^2 ?
The solution to -1.14y^2=52.3+x^2 is Ellipse with (h,k)=(0,0),a=7.23187…,b=6.77327…