SOLUTION: How would you solve these two problems using completing the square? 4x^2+32x+20=0 & x^2+10x+10=0 thank you so much!

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Question 625490: How would you solve these two problems using completing the square?
4x^2+32x+20=0
&
x^2+10x+10=0
thank you so much!
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

I already did the first one today. Use the same process for the second one.

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

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