Question

What is the solution of the equation?
2 5^square root (x+6)^3+3=19

Answer 1

not so easy to read this one
\[25\sqrt{x+6}^3+3=19\]?

Answer 2

\[2 \sqrt[5]{(x+6)^{3}} +3 =19\]

Answer 3

HI!!

Answer 4

fifth root right?

Answer 5

2^5 sqrt((x+6)^3) + 3 = 19
32 sqrt ((x+6)^3) = 16
sqrt ((x+6)^3) = 0.5
(x+6)^3 = 0.25
x+6 = 0.6299605249
x = -5.3700394751

The answer is nothing.

Answer 6

first subtract 3 from both sides

Answer 7

@satellite73

Answer 8

what @misty1212 said, subtract 3 as a first step
what do you get?

Answer 9

Answer choices are
A.26
C.14
D.2

Answer 10

A

Answer 11

yeah yeah we can get the answer
subtract 3 and get
\[2\sqrt[5]{x+6}=16\]
then divide both sides by \(2\)

Answer 12

Subtract from 19 or from the whole equation itself?

Answer 13

from both sides
your goal is to get \(\sqrt[5]{x+6}\) by itself

Answer 14

16/2=8

Answer 15

just like if you were solving
\[2x+3=19\] for \(x\) you would
a) subtract 3 then
b) divide by 2

Answer 16

idk how to divide the other side

Answer 17

right

Answer 18

you have it
\[\sqrt[5]{x+6}^3=8\]

Answer 19

now to get \(x\)

Answer 20

I just dont know what to do with the left side lol

Answer 21

I appreciate you taking your time to help me btw

Answer 22

lets start with
\[\sqrt[5]{(x+6})^3=8\]

Answer 23

getting there was the first two steps, you good til here (yw btw)

Answer 24

\[\sqrt[5]{(x+6})^{\color{red}3}=8\] lets get rid of that \(\color{red}3\) next
it is an exponent, so to get rid of it, take the cubed root of both sides
you know what the cubed root of 8 is?

Answer 25

I have no clue

Answer 26

think of a number that, when you multiply it by itself 3 times, you get 8
just guess, you have very few choices
if you get it wrong, i will tell you

Answer 27

2

Answer 28

right!

Answer 29

so taking the cubed root of both sides gets rid of that exponent of 3 on the left and \[\sqrt[5]{(x+6)^3}=8\] becomes \[\sqrt[5]{x+6}=2\]

Answer 30

now we have to get rid of the index of 5, which we do by raising both sides to the power of 5
what is \(2^5\)?

Answer 31

you can back solve it

Answer 32

i didn't lose you there did it?

Answer 33

Sorry catching up my computer froze

Answer 34

yeah it does that

Answer 35

os i mean

Answer 36

just put all the options one by one in the question and one option will satisfy the equation

Answer 37

raisiing both sides to the power of 5 gives
\[x+6=2^5\] or
\[x+6=32\]

Answer 38

32

Answer 39

right

Answer 40

now subtract 6 from both sides and you are done

Answer 41

32-6

Answer 42

yup

Answer 43

26

Answer 44

yes

Answer 45

Wow thank you, I would have never figured that out without you breaking it down

Answer 46

you are quite welcome

Answer 47

I gave you a medal, well deserved

Answer 48

I was right the answer is 26

Answer 49

You were right, but you just gave the answer instead of explaining lol that wont help me on a test

Answer 50

i prefer quick learning

Answer 51

as like in mcq's u have to save time....not to write papers for one question only