Question

Please Help

Answer 1

solve for x: 11x^2-7=2-5x^2

Answer 2

combine like terms
if you move all the terms with x^2 to the left, and all the constant to the right
what would you get?

Answer 3

It's like 20 something

Answer 4

...

Answer 5

-5x^2+11x^2+2-7

Answer 6

no
first note, what happened to the equal sign
2nd note, you cannot just move terms from one side to the other
you need to add/subtract that term to both sides

ex.
11x^2-7=2-5x^2

say i want to move the -5x^2 to the left
this can be done by adding 5x^2 to both sides because on the right,

11x^2+5x^2-7= 2 - 5x^2 + 5x^2

note on the right side, -5x^2+5x^2 =0

so we would get
11x^2+5x^2-7= 2

then we combine like terms (x^2) to get

16x^2-7= 2

now do the same thing for the constants

Answer 7

whats constant

Answer 8

constants are terms that do not have variables
ex.
1 2 3 4 5 6 7 8 9 ... etc

Answer 9

so now I would have to add or subtract the 2 and -7

Answer 10

16x^2-7= 2
ok, you want to move all the constants to the side opposite to the terms with variables
since the variable term is on the left side, you want to move all the constants to the right side

Answer 11

I just don't understand how to move all the constants to the right side

Answer 12

since 2 is already on the right side, you dont need to do anything with it

you want to move the -7 over to the right side, what would you have to add/subtract in order to achieve this?

Answer 13

read over the steps i did for moving the variable terms to the left side

Answer 14

still no idea?

Answer 15

so the first step is 11x^2-7+7=2-7-5x^2

Answer 16

Might this help at all: http://openstudy.com/study#/updates/516cac51e4b063fcbbbca4f1 ?

Answer 17

almost,

since you added 7 to the left side, you also need to do the same to the right side

if you do something to one side, you need to do the same thing to the other

Answer 18

first step would look like
11x^2-7+7=2+7-5x^2

Answer 19

ok so 11x^2-7+7=2-7+7-5x^2

Answer 20

i gave you the first step, compare it to the original equation and tell me what is different

Answer 21

I did the first one the same thing that you did 11x^2-7+7=2-7-5x^2

Answer 22

no you didnt
you have a -7 on the right side
i have a +7 on the right side

you need to add 7 to both sides in order to cancel out the -7 on the left side

Answer 23

ok so 16x=3

Answer 24

sorry i lied

thats completely wrong

go back a step

16x^2= 9

Answer 25

first divide by 16 to both sides

Answer 26

16 and 9 /16?

Answer 27

16/16=1

dividing 16 to both sides would give you
x^2=9/16

Answer 28

so now divide 9/16 by 2?

Answer 29

no

you need to find the square root of both sides

Answer 30

sqrt of 9 and 16?

Answer 31

sqrt of 9/16

Answer 32

9=3,,16=4

Answer 33

\[x^2=\frac{9}{16}\]
\[\sqrt{x^2}= \sqrt{\frac{9}{16}}\]
\[\sqrt{x^2}=x\]

Answer 34

so whats the answer

Answer 35

whats x

Answer 36

well sqrt of 9 is 3 and the sqrt of 16 is 4

3/4

Answer 37

there are 2 solutions for x

Answer 38

so 3/4 is the answer?

Answer 39

3/4 is one of them
what is the other

Answer 40

ok thanks

Answer 41

note
a negative number squared is positive

the other answer would be -3/4