Quadratic Equation

[magic atlas]

Question asked: what number needs to be added to COMPLETE THE SQUARE for
2x^2-16x+10=0? Explain how you know.
I got 16 as my answer is that correct?

[umbral kestrel]

!show

[sick wadi]

Show your work, and if possible, explain where you are stuck.

[magic atlas]

I got 16 as my answer but most of the answer I saw was in a fraction form

[static glade]

2x² - 16x + 10 = 0
2(x² - 8x + 5) = 0
knowing that (x-4)² = x² - 8x + 16, you need to add (16-5) ,which is 11
2(x²-8x+5+11-11) = 0,
2[(x-4)²-11] = 0,
2(x-4)² - 22 = 0
Completed the square, hence you need to add 22

[twin cosmos]

Drip solution

[umbral kestrel]

!nosols