Question

How would I complete the square for this problem? (will post it below)

Answer 1

complete teh square by first adding teh value (b/2)^2 to both sides of teh equation

Answer 2

where the equation is ax^2 + bx + c= 0, so in this case, b = 10

Answer 3

so add 25 to both sides, okay (im writing this down)

Answer 4

Subtract 14 from both sides to get it to the other side.

x^2 + 10x = -14
Then use (b/2)^2
10/5 = 5
5^2 = 25
x^2 + 10x + 25 = -14 + 25

Answer 5

okay, what next @a1234

Answer 6

x^2 + 10x + 25 = 11
Can you factor the left side?

Answer 7

(x+5)(x+5)

Answer 8

Yep, nice job

Answer 9

That comes out to \(\large (x+5)^2=11\)

Now, you need to get rid of the exponent by taking the square root of both sides

Answer 10

(x+5)(x+5) = 11
(x+5)^2 = 11
Take the square root of both sides
(x+5) = sqrt11
x+5 = sqrt11
x = +/- sqrt11 - 5

Answer 11

So would the answer be D ?

Answer 12

Yep

Answer 13

Thank you! That helped alot!

I know how to do quadratic formula, equation conversion, factoring, but for some reason completeing the square always messes me up x(

Answer 14

Just remember to send the constant (in this case14) to the other side to make room for completing the square.

And you're welcome!