y = 4(2) (x + 2)2 + (y - 3)2 = 16
Mathematics · High School · Mon Jan 18 2021
Answered on
Given the numerical equation:
4(2) (x+2)^2 + (y - 3)^2 = 16
Simplify.
Solution:
In order to simplify the given numerical equation. we simply must square first all the equations inside the parenthesis.
4(2) (x+2)^2 + (y - 3)^2 = 16
8 ( x^2 + 4x + 4) + ( y^2 - 6y + 9) = 16
Distribute 8 to each value inside its corresponding parenthesis.
8x^2 + 32x + 32 + y^2 - 6y + 9 = 16
Transpose 16 on the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
8x^2 + 32x + 32 + y^2 - 6y + 9 - 16 = 0
8x^2 + y^2 + 32x - 6y + 25 = 0
Final answer:
8x^2 + y^2 + 32x - 6y + 25 = 0