Question

What is the value of n in the equation four left parenthesis three n plus two right parenthesis to the power of start fraction one over two end fraction end power minus five equals zero question mark

Answer 1

can you draw out the problem? or post a screenshot?

Answer 2

4(3n+2)1/2-5=0

Answer 3

so this?

\[\LARGE 4(3n+2)^{1/2} - 5 = 0\]

Answer 4

yes

Answer 5

what's the first step? Any idea?

Answer 6

no youre going to have to walk me through this one

Answer 7

ok to make things simpler a bit, I'm going to let x = 3n+2 and replace the "3n+2" with x

\[\LARGE 4(3n+2)^{1/2} - 5 = 0\]
\[\LARGE 4x^{1/2} - 5 = 0\]

Answer 8

what does that 1/2 power mean?

Answer 9

not sure

Answer 10

it means "square root", right?

Answer 11

so

\[\LARGE 4x^{1/2} - 5 = 0\]
\[\LARGE 4\sqrt{x} - 5 = 0\]

Answer 12

now try to isolate sqrt(x). Get sqrt(x) all by itself on one side

Answer 13

ok

Answer 14

you'll have to add 5 to one side

Answer 15

yep, then what?

Answer 16

not sure

Answer 17

well you have this

\[\LARGE 4\sqrt{x} = 5\]

Answer 18

how would we move that 4 over

Answer 19

hint: undo the "4 times"

Answer 20

i reALLY DONT KNOW

Answer 21

you divide both sides by 4 to undo the multiplication

Answer 22

\[\LARGE 4\sqrt{x} = 5\]
\[\LARGE \sqrt{x} = \frac{5}{4}\]

Answer 23

OK

Answer 24

so whats the answer

Answer 25

are you able to isolate x completely?

Answer 26

square both sides

Answer 27

i dont know

Answer 28

give it a try

Answer 29

don't be afraid to get it wrong

Answer 30

i really dont

Answer 31

5/4 times 5/4 = ???

Answer 32

25/16

Answer 33

remember we let x = 3n+2

Answer 34

so if x = 25/16, then 3n+2 = 25/16

Answer 35

isolate n in 3n+2 = 25/16

Answer 36

ok

Answer 37

ok

Answer 38

could you please hurry i have 3 more questions

Answer 39

when you solve for n, what did you get?

Answer 40

not sure

Answer 41

what did you try so far

Answer 42

i just want you to walk me through it bc i dont know how

Answer 43

ok read this article and it might help out

http://www.purplemath.com/modules/solvelin.htm

let me know if it helps or not

Answer 44

ok well could you please continue

Answer 45

have a look at that article first

Answer 46

i dont have time

Answer 47

ok we can work on this when you get back

Answer 48

no i need to know the answer