document.write( "Question 689299: how do you find the vertices, foci, of the ellipse.
\n" ); document.write( "56x^2 + 7y^2 = 8
\n" ); document.write( "56x^2/8+7y^2/8=8/8
\n" ); document.write( "x^2/sqrt7+y^2/(sqrt14/4)^2=1
\n" ); document.write( "eccentricity=sqrt14/4 \n" ); document.write( "

Algebra.Com's Answer #425952 by lwsshak3(11628) $\"\"$ $\"About$

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how do you find the vertices, foci, of the ellipse.
\n" ); document.write( "56x^2 + 7y^2 = 8
\n" ); document.write( "**
\n" ); document.write( "56x^2+7y^2 = 8
\n" ); document.write( "7x^2+7y^2/8 = 1
\n" ); document.write( "This is an equation of an ellipse with vertical major axis.
\n" ); document.write( "Its standard form: $\"%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1\"$ , a>b, (h,k)=(x,y) coordinates of center
\n" ); document.write( "For given equation:7x^2+7y^2/8 = 1
\n" ); document.write( "center: (0,0)
\n" ); document.write( "a^2=8/7
\n" ); document.write( "a=√(8/7)≈1.07
\n" ); document.write( "vertices:(0,0ąa)=(0,0ą1.07)=(0,-1.07) and (0,1.07 )
\n" ); document.write( "b^2=1/7
\n" ); document.write( "b=√7/7≈.38
\n" ); document.write( "c^2=a^2-b^2=8/7-1/7=7/7=1
\n" ); document.write( "c=1
\n" ); document.write( "foci: (0,0ąc)=(0,0ą1)=(0,-1) and (0,1) \n" ); document.write( "

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