Question

can you simplify this.. x=cuberoot of (2y+3)
x= 3√(2y+3)

Answer 1

there isn't anything else you can do unless you want to solve for y

Answer 2

simplify from x to y
y=(1/18)(x^2-27)

Answer 3

i want to solve for y @sourwing

Answer 4

@BabiiMuffin can you show me how, please

Answer 5

So, what do you have to do to "undo" a cube root?

Answer 6

raise by power of 3 on both sides? @FibonacciChick666

Answer 7

yes, so what does doing that give you?

Answer 8

oops i was computing x=3*(2y+3)
the answer to yours is actually y=(1/2)(x^3-3)

Answer 9

x=(2y+3)^3 @FibonacciChick666

do I multiply the (2y+3) or is there an easier way to solve for y

Answer 10

well, so let's talk about "x=(2y+3)^3"

Answer 11

x=(2y+3)^(1/3)

x^3=2y+3

2y=x^3-3

y=(1/2)(x^3-3)

Answer 12

when you set both sides to the third power, you actually will get this: \[(x)^3=[(2y+3)^\frac{1}{3}]^3\]

Answer 13

can you simplify that for me?

Answer 14

8 y^3+36 y^2+54 y+27

Answer 15

how did you get that?

Answer 16

(2y+3)^3

Answer 17

ok, so take a step back, if you have \[(x^m)^n\]
how do you simplify that?

Answer 18

x^mn

Answer 19

ok you multiply them right?

Answer 20

yes

Answer 21

so go back and take a look at what I wrote

Answer 22

here:\[ (x)^3=[(2y+3)^\frac{1}{3}]^3\]

Answer 23

so take a closer look at that right side

Answer 24

x = (2 y+3)^(1/3)

Answer 25

no, remember, how do you simplify \[(x^m)^n\]

Answer 26

can you identify your m and n?

Answer 27

x^3= 2y+3

Answer 28

1/3 times 3 is 1

Answer 29

ahh there we go, ok so you have \[x^3=2y+3\]

Answer 30

so, how can you get y by itself?

Answer 31

step by step please

Answer 32

switch it to the other side and change its sign

-2y= 3-x^3

Answer 33

y = (x^3/2 ) - (3/2)

Answer 34

@FibonacciChick666 is this the answer?

Answer 35

you have to remember to divide by negative 2 if you are going to take the step to put y on the left

Answer 36

(you do not have to do that step, y can stay on the right side)

Answer 37

ah wait you did, i misread, my bad

Answer 38

x^3-3=2y

Answer 39

yes, either way yields the same answer, you were correct. I was thinking of this way when I saw the placement

Answer 40

thank you so much for helping me, :) @FibonacciChick666

Answer 41

np, thanks for upholding the code of conduct :)

Answer 42

^_^