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!

Algebra.Com
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)   (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

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



RELATED QUESTIONS

How would you solve this problem using "completing the square?" 4x^2+32x+20=0 Thank (answered by solver91311)
2x^2 -4x +3 =0 solve by completing the square, this would be extremely helpful thank... (answered by sofiyac)
How would you solve the following equation by completing the square?... (answered by stanbon)
I have two problems that I would love some help on. I am so confused. Solve for x:... (answered by edjones)
1. Solve by factoring: x² – 10x = -16 2. Solve using the square root property:... (answered by tanimachatterjee)
I have 2 problems i need help with,and if you could break it down so i can understand how (answered by checkley71)
Can someone help me solve this problem? Thank you so much! Solve x² + 4x – 7 = 0 by... (answered by scott8148)
I am having problems with these problems Solve by using the quadratic formula... (answered by jim_thompson5910)
Could you please help me solve this by completing the square: x^2+10x-8=0 (answered by oscargut)