Question

Solve x2 − 8x + 5 = 0 using the completing-the-square method.

Answer 1

@hartnn Hi

Answer 2

hello :)
what have you tried?

Answer 3

i got x and square root of 11

Answer 4

I don't think i got it right

Answer 5

ok, lets go step by step,

x^2 -8x = -5

what did you add to both sides of this equation?

Answer 6

16

Answer 7

good!

so left side became the perfect square of (x-4)

\((x-4)^2 = 16-5
\\ (x-4)^2=11\)

now take square root on both sides

Answer 8

?

Answer 9

11 can't be square rooted

Answer 10

and idk about x-4

Answer 11

right,
keep it as \(\Large \sqrt{11}\)

Answer 12

okay

Answer 13

\(\sqrt{(x-4)^2} = x-4\)

Answer 14

okay so x-4 = square root of 11

Answer 15

\(\Large x-4 =\pm \sqrt {11}\)

Answer 16

because there would be a negative root too

Answer 17

okay but my answer choices are
x = negative four plus or minus the square root of eleven
x = four plus or minus the square root of eleven
x = negative four plus or minus the square root of five
x = four plus or minus the square root of five

Answer 18

That isn't "x ="

Answer 19

add 4 on both sides

Answer 20

OHHHH

Answer 21

\(\Large x = 4\pm \sqrt{11}\)

Answer 22

OMG I LOVE YOU <3333333333333333333333333333333333

Answer 23

No hetero

Answer 24

me too :)
welcome ^_^