What is 5x^2+2y^2=98 ?

The solution to 5x^2+2y^2=98 is Ellipse with (h,k)=(0,0),a=(7sqrt(2))/(sqrt(5)),b=7

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5x^2+2y^2=98

5 x^{2} + 2 y^{2} = 98

(h, k) = (0, 0), a = \frac{7 2}{5}, b = 7

Solution steps

5 x^{2} + 2 y^{2} = 98

Rewrite

5 x^{2} + 2 y^{2} = 98

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{7 2}{5} ) ^{2}} + \frac{( y - 0 ) ^{2}}{7 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{7 2}{5}, b = 7

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 7, a = \frac{7 2}{5}

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

2 x^{2} + 3 y^{2} - 12 x + 12 y + 12 = 0

\frac{y ^{2}}{4} + \frac{z ^{2}}{9} = 1

2 x^{2} + y^{2} - 2 x \leq 0

\frac{( x + 7 ) ^{2}}{6} + \frac{( y + 7 ) ^{2}}{5} = 1

What is 5x^2+2y^2=98 ?
The solution to 5x^2+2y^2=98 is Ellipse with (h,k)=(0,0),a=(7sqrt(2))/(sqrt(5)),b=7