SOLUTION: Solve: (w+5)^2 = 2w^2+20w+46

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Solve: (w+5)^2 = 2w^2+20w+46      Log On


   

Question 218651: Solve: (w+5)^2 = 2w^2+20w+46
Answer by chibisan(131) About Me  (Show Source):
You can put this solution on YOUR website!
+%28w%2B5%29%5E2+=+2w%5E2+%2B+20w+%2B+46+
+w%5E2%2B2%285%29%28w%29%2B+5%5E2+=+2w%5E2+%2B+20w+%2B+46+
+w%5E2+%2B+10w+%2B+25+=+2w%5E2+%2B+20w+%2B+46+
bring L.H.S to R.H.S
+0=+2w%5E2+-+w%5E2+-10w+%2B+20w+-25+%2B+46+
+0=+w%5E2+%2B+10w+%2B+21+
0 = (w + 7)(w + 3)
w = -7 & w = -3 (ans)