Posted by **JOHN** on Wednesday, April 23, 2008 at 10:08pm.

x^2 - 14 x + 13 = 30 y

x^2 - 14 x = 30 y - 13

x^2 - 14 x + 49 = 30 y + 36 ****

(x-7)^2 = 30 y + 36

x - 7 = +/- sqrt (30 y + 36)

x = 7 +/- sqrt (30 y + 36)

where did you get the 49 or 36

- Math -
**Damon**, Wednesday, April 23, 2008 at 10:14pm
I did it below after you asked

- Math -
**Damon**, Wednesday, April 23, 2008 at 10:16pm
Here again:

========

#

Completing the square

x^2 + a x = something

x^2 + a x + (a/2)^2 = something + (a/2)^2

so

if

x^2 -14 x = something

then

x^2 - 14 x +(14/2)^2 = something + (14/2)^2

or

x^2 - 14 x + 49 = something + 49

(x-7)^2 = something + 49

x - 7 = +/- sqrt (something + 49)

by taking half the second coefficient and squaring it, I get a perfect square.

# Math - Damon, Wednesday, April 23, 2008 at 10:13pm

and 49 - 13 = 36

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