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Popular >

y^2=8-2x^2

Solution

y^{2} = 8 - 2 x^{2}

Solution

(h, k) = (0, 0), a = 2, b = 22

Solution steps

y^{2} = 8 - 2 x^{2}

Rewrite

y^{2} = 8 - 2 x^{2}

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 2, b = 22

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 22, a = 2

Popular Examples

(x^2)/(25)+((y+4)^2)/(49)=1

\frac{x ^{2}}{25} + \frac{( y + 4 ) ^{2}}{49} = 1

9x^2+4y^2+54x-16y+61=0

9 x^{2} + 4 y^{2} + 54 x - 16 y + 61 = 0

9 x^{2} + 4 y^{2} = 25

x^{2} + 5 y^{2} = 1

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

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

Frequently Asked Questions (FAQ)

What is y^2=8-2x^2 ?
The solution to y^2=8-2x^2 is Ellipse with (h,k)=(0,0),a=2,b=2sqrt(2)