SOLUTION: What is the solution set of the equation {{{ y= 2+ sqrt(y^2-12) }}} ?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: What is the solution set of the equation {{{ y= 2+ sqrt(y^2-12) }}} ?      Log On


   



Question 371344: What is the solution set of the equation +y=+2%2B+sqrt%28y%5E2-12%29+ ?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi,
solution set of the equation
+y=+2%2B+sqrt%28y%5E2-12%29+
+y+-2+=+sqrt%28y%5E2-12%29+
squaring both sides
(y-2)^2 = y^2 - 12
y^2 - 4y + 4 = y^2 - 12
-4y = -16
y = -16/-4 = 4