Question

Can someone please help???? <3333

Answer 1

x^2-6x+7=0

Answer 2

x^2-6x+9-2=0

Answer 3

x^2-2*x*3+3^2-2=0

Answer 4

(x-3)^2=2

Answer 5

x-3=+-root2

Answer 6

x=3+root 2

Answer 7

x=3-root2

Answer 8

@shamim so what is the answer for them?

Answer 9

Root 2=?

Answer 10

yes but what do i put where in the boxes?

Answer 11

x=3+ root 2=?

Answer 12

This 1 answer

Answer 13

Another answer is
x=3-root2=?

Answer 14

@dan815

Answer 15

@Mateaus

Answer 16

@confluxepic

Answer 17

still need help?

Answer 18

YES

Answer 19

We need to get x terms on the left side by, first, subtracting 7

Answer 20

We now have \[x^2 - 6x = -7\]

Answer 21

combine the x's?

Answer 22

Well, to complete the square, we need to divide the middle term (which is -6) by 2 and then square that answer

Answer 23

We now have \[x^2 - 6x + 9 = -7 + 9\]
See how i added the square of have of -6 to both sides

Answer 24

yes

Answer 25

Now we factor...do you know what x^2 - 6x + 9 simplifies to?

Answer 26

umm 6x3+9?

Answer 27

Srry about that...it simplifies to (x-3)^2 = -7 + 9

\[(x - 3)^2 = 2\]

Answer 28

@MeganLeex3

Answer 29

so thats the first answer right? @dmndlife24

Answer 30

Yes it is :)

Answer 31

okay (: what about the second one?

Answer 32

For the second one, we can use the quadratic formula

\[\frac{ -b +\sqrt{b^2-4ac} }{ 2a }\]

where "1" is a, "-6" is b and "7" is c

Answer 33

so plug in the nunbers right?

Answer 34

sorry thats \[\frac{ -b \pm \sqrt{b^2-4ac} }{ 2a }\]

and yes plug in the numbers

Answer 35

\[x = \frac{ -(-6) \pm \sqrt{(-6)^2 - 4(1)(7)} }{ 2(1) }\]

Answer 36

solve?

Answer 37

Yes it's just basically simplifying

Answer 38

It simplifies to \[x = \frac{ 6\pm \sqrt{8} }{ 2 }\]

Answer 39

Which further simplifies to\[x = 3\pm \sqrt{2}\]

Answer 40

And that is your second answer :)

Answer 41

@MeganLeex3 do you understand?

Answer 42

yes thank you!

Answer 43

Your Welcome