Question

When solving x2 + 6x = 10 by the completing the square method, what value is added to both sides?

9
5
4
3

Answer 1

@jim_thompson5910

Answer 2

@satellite73

Answer 3

@Hero @ganeshie8

Answer 4

@zzr0ck3r @SithsAndGiggles

Answer 5

@dumbcow

Answer 6

@aum I need your help

Answer 7

@Luigi0210 @phi

Answer 8

How would you get \((x+3)^2\) on the right side?

Answer 9

wait how did you get that. may i ask you to please explain?

Answer 10

Expanding the binomial gives you
\[(x+3)^2=x^2+6x+9\]
The trick to completing the square is to find a number (in this case 9) such that when you take the square root and double it, you get the coefficient of the \(x\) term.

Answer 11

In reverse order, you're given the coefficient, so you would cut it in half and square it:
\[\left(\frac{6}{2}\right)^2=3^2=9\]

Answer 12

how I see you square it and got 9. Option 1

Answer 13

am I right?

Answer 14

Yeah

Answer 15

Thank you for your help! :)