The center of the circle is (?,?)

The radius of the circle is ?

The center of the circle is (?,?)

The radius of the circle is ?

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Woodland Hills, CA

5 X^{2 }+ 2X + 5 Y^{2 }- 3y -19 = 0

5 ( X^{2} + 2/5 X ) + 5 ( Y^{2} - 3y ) = 19

5 ( X^{2 }+ 2/5 X + 1/25) + 5 ( Y^{2} -3/5y +9/100 ) = 19 +1/5 + 45/100

5 ( X + 1/5 ) ^{2 }+ 5 ( Y - 3/10)^{2} = (1900 + 20 + 100)/100

( X + 1/ 5) ^{2 } + ( Y - 3/10)^{2} = 2020/ 500 = 4.04 (**)

Centre: ( -1/5, 3/10) radius = 2

So, basically have to convert the expression to the form of ( **), by adding and subtracting quantities from both sides

first you factor out 5 from 5X^{2}, 5 Y^{2}

then make every parenthesis a perfect square, by adding quantities on both sides, and simplify it.

Willowbrook, IL

See my answer to your previous question. Here you first need to divide by 5. Then proceed like I did in the previous example.

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