MATH SOLVE

4 months ago

Q:
# What is the result of isolating y^2 in the equation below (x-2)^2+y^2=64?

Accepted Solution

A:

What is the result of isolating y^2 in the equation below (x-2)^2+y^2=64?Solution:We want to isolate [tex] y^{2} [/tex] from the equation [tex] (x-2)^{2} +y^{2} =64 [/tex]To isolate [tex] y^{2} [/tex], we must try to get [tex] y^{2} [/tex] aloneSo, We must subtract [tex] (x-2)^{2} [/tex] from both sides [tex] (x-2)^{2}-(x-2)^{2} +y^{2} =64-(x-2)^{2} [/tex] [tex] 0 +y^{2} =64-(x-2)^{2} [/tex] [tex] y^{2} =64-(x^{2}-4x+4) [/tex]Distributing '-' inside parenthesis [tex] y^{2} =64-x^{2} +4x -4 [/tex] [tex] y^{2} =60-x^{2} +4x [/tex]