Change the equation to standard form
x^2+ y^2 - 2x + 14y + 1 = 0
Get the like letter terms together and subtract the constant term from
both sides:
Put parentheses around the x terms and the y terms,
skipping a space after each:
Complete the square in the first parentheses:
1. Multiply the coefficient of x, which is -2 by 1/2, getting -1
2. Square -1. (-1)2, getting +1
3. Add it in the space in the first parentheses, and also add it
to the right side:
Complete the square in the second parentheses:
1. Multiply the coefficient of x, which is 14 by 1/2, getting 7
2. Square 7. (7)2, getting +49
3. Add it in the space in the second parentheses, and also add it
to the right side:
Factor each parentheses and combine numbers on the right:
Write the factorizations as squares:
Edwin
