Hello Everyone,

I can't figure out very well how to find the standard equation of the following ellipse.

I was trying the following steps.

Find squares (I'm not good at, finding squares)

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- Apr 27th 2013, 02:17 PMvaironxxrdFinding standard equation of an Ellipse
Hello Everyone,

I can't figure out very well how to find the standard equation of the following ellipse.

I was trying the following steps.

Find squares (I'm not good at, finding squares) - Apr 27th 2013, 02:28 PMShakarriRe: Finding standard equation of an Ellipse
Looking at the x part. If you want to get it into the form (ax+b)

^{2}expanding it out might make it clearer. (ax+b)^{2}=a^{2}x^{2}+2abx+b^{2}

since the x^{2}part is 25x^{2}you know that a^{2}=25, a=5

The x part is -300. You know that 2ab=-300. and a=5 so b=-30

Lastly you need to balance the square by subtracting a constant.

For this to be true c must be equal to -900 - Apr 27th 2013, 03:15 PMSorobanRe: Finding standard equation of an Ellipse
Hello, vaironxxrd!

Before completing-the-square,

factor out the leading coefficients of the quadratic expressions.

Quote:

Find the standard equation of the following ellipse:

. .

We have: . .

Factor:.

. . . . . .

. . . . . . . . . . . . . .

Divide by 1225:. . . . .