SOLUTION: How would you solve this problem using "completing the square?" 4x^2+32x+20=0 Thank you!

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: How would you solve this problem using "completing the square?" 4x^2+32x+20=0 Thank you!      Log On


   

Question 625471: How would you solve this problem using "completing the square?"
4x^2+32x+20=0
Thank you!
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Step 1: Add the opposite of the constant term to both sides:



Step 2: Multiply both sides by the reciprocal of the lead coefficient:





Step 3: Divide the first degree term coefficient by 2 and square the result. Add that result to both sides: (8 divided by 2 is 4, 4 squared is 16)



Step 4: Factor the perfect square trinomial in the RHS.



Step 5: Take the square root of both sides, remembering to consider both the positive and negative roots.



Step 6: Add the opposite of the constant term in the LHS to both sides.



Step 7: Send your lifesaving tutor a large gratuity.

John

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