Get the center radius of the equation
(x -7/4)2 + (y + 3/4)2 = 169/16

1
so is this one is on standard form? (the one on my question)?
Yes.
General form is the expanded form. Simply put, you just solve the square of binomials, then combine the like terms, then simplify.
why is it =-111/16?
You combine the like terms, the constant (49/16 + 9/16 - 169/16) = -111/16. Solution like this entails skills in operation on integers, and fractions.

Answers

  • Brainly User
2016-07-09T10:46:29+08:00
Standard Form (Given):

     (x-7/4)² + (y+3/4)² =169/16

Change to General form ⇒ Ax² + By² + Cx + Dy + C = 0

Transformation:

(x - 7/4)² + (y+3/4)² = 169/16

(x² - 14x/4 + 49/16) + (y² + 6y/4 + 9/16) - 169/16 = 0

x² + y² - 14x/4 + 6y/4 + 49/16 + 9/16 - 169/16 = 0

Simplify:

x² + y² - 7x/2 + 3x/2 - 111/16 = 0
1 4 1