Question

-7x^2=-448

taking the square root
and
completing the square
please show steps

Answer 1

you do not have to complete the square for this one
divide both sides by \(-7\) then take the square root of both sides
don't forget the \(\pm\)

Answer 2

https://www.mathway.com

Answer 3

\[\huge~\rm~-448\div-7=?\]

Answer 4

64

Answer 5

Yep, so now you have \(x^2 = 64\)

Your next step is to take square root of both sides.

Answer 6

\[\huge~\rm~\sqrt{x^2}=\sqrt{64}\]

Answer 7

64 is 8

Answer 8

good and the square root of X^2 ?

Answer 9

x

Answer 10

ok so whats the answer?

Answer 11

8x

Answer 12

so the equation for it would be like the steps

Answer 13

Nope remeber the = sign it remains there!
\[\huge~\rm~x=\pm8\]

Answer 14

what would be the steps

Answer 15

We just did it ...
we need to divide both sides by -7 that way we can isolate the x
\[\huge~\rm~\frac{ -7x^2=-448 }{ 7 } \]
We were left with
\[\huge~\rm~x^2=64\]
we need to solve for x so we need to square root both of those
\[\huge~\rm~\sqrt{x^2}=\sqrt{64}\]

Answer 16

And when we did this we ended up with...
\[\huge~\rm~x=\pm8\]

Answer 17

understood ?

Answer 18

yes i think so if i turned these steps it would be the correct formulas and stuff?

Answer 19

Can you please rephrase that ?

Answer 20

i'm suppose to show my work when i turn it in so if i turn these steps in would it be the correct formula?

Answer 21

can you help me with one more?

Answer 22

._. this is correct but i expect u to be able to do the next one by yourself if it is like this...i can look over the work :)

Answer 23

ok well the next one is a little different
x^2-10x+22=-2

Answer 24

do i do the same thing?

Answer 25

We need to get it into standered for first
\[\huge~\rm~ax^2+bx+c=0\]

Answer 26

fill it in with the number from the equation?

Answer 27

x^2-10x+22=-2

we add the -2 to the -
\[\huge~\rm~22-2=?\]

Answer 28

well -24

Answer 29

my mistake sorry it would be just 24

Answer 30

\[\huge~\rm~x^2-10x+24=0\]

Answer 31

what numbers multiply to make 24 but adds to make -10

Answer 32

4 an 6 im not sure

Answer 33

good -4 and -6 then
(x-6) (x-4)
set up 2 diffrent equations
x-6=0 <---solve for x
x-4=0 <----solve for x

Answer 34

x=6
and
x=4

Answer 35

@pooja195

Answer 36

yep

Answer 37

and then?

Answer 38

thats it

Answer 39

o so the steps are ?

Answer 40

i got to go