What is x^2+4y^2-2.71=0 ?

The solution to x^2+4y^2-2.71=0 is Ellipse with (h,k)=(0,0),a=1.64620…,b=0.82310…

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x^2+4y^2-2.71=0

x^{2} + 4 y^{2} - 2.71 = 0

(h, k) = (0, 0), a = 1.64620 \dots, b = 0.82310 \dots

Solution steps

x^{2} + 4 y^{2} - 2.71 = 0

Rewrite

x^{2} + 4 y^{2} - 2.71 = 0

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{1.64620 \dots ^{2}} + \frac{( y - 0 ) ^{2}}{0.82310 \dots ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 1.64620 \dots, b = 0.82310 \dots

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 1.64620 \dots, b = 0.82310 \dots

What is x^2+4y^2-2.71=0 ?
The solution to x^2+4y^2-2.71=0 is Ellipse with (h,k)=(0,0),a=1.64620…,b=0.82310…