SOLUTION: v^2 + 6v - 46 = 9 Can you show me step by step solving v be completing the square? thanks

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: v^2 + 6v - 46 = 9 Can you show me step by step solving v be completing the square? thanks      Log On


   

Question 372236: v^2 + 6v - 46 = 9 Can you show me step by step solving v be completing the square? thanks
Found 2 solutions by robertb, solver91311:
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
v%5E2+%2B+6v+-+46+=+9+,
v%5E2%2B6v+=+55,
v%5E2+%2B+6v+%2B+9+=+64, after adding %286%2F2%29%5E2 to both sides.
%28v%2B3%29%5E2+=+64.
v+3 = 8 or v+3 = -8 after using the square-root principle
v = 5 or v = -11, the final solutions.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Add 46 to both sides.

Divide the coefficient on v by 2 and square the result.

Add that result to both sides.

Factor the perfect square trinomial in the LHS.

Take the square root of both sides, remembering to consider both the positive and negative roots.

Add the opposite of the constant term in the LHS to both sides, leaving you with v in the LHS and the two roots in the RHS.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism