What is 5x^2+2y^2=10 ?

The solution to 5x^2+2y^2=10 is Ellipse with (h,k)=(0,0),a=sqrt(2),b=sqrt(5)

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5x^2+2y^2=10

5 x^{2} + 2 y^{2} = 10

(h, k) = (0, 0), a = 2, b = 5

Solution steps

5 x^{2} + 2 y^{2} = 10

Rewrite

5 x^{2} + 2 y^{2} = 10

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 2 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 5 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 2, b = 5

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 5, a = 2

What is 5x^2+2y^2=10 ?
The solution to 5x^2+2y^2=10 is Ellipse with (h,k)=(0,0),a=sqrt(2),b=sqrt(5)