Question

What is the easiest way to find the intersection point of:
(x)^3 = cube root of {x+3} ?

Answer 1

Btw, they are inverses of each other.

Answer 2

WAIT!

Answer 3

One minute, I messed up the beginning equation

Answer 4

its cube on left side and cuberoot on other side?

Answer 5

its actually suppose to be:
(x^3 - 1) = cube root of (x + 1)

Answer 6

DISREGARD THE FIRST POST; It is suppose to be:
(x^3 - 1) = cube root of (x + 1)

Answer 7

What is the easiest way of finding the intersection pt?

Answer 8

Cube both sides

Answer 9

Ok then..

Answer 10

it is not that easy..
Try trial and error method by plugging in different values for x

Answer 11

So it can't be solved out easily through algebra?

Answer 12

graph it

Answer 13

graph x^3 - 1

then graph cube root(x+3)

Answer 14

Then find the intersection point

Answer 15

Ok so I am suppose to guesstimate here?

Answer 16

Yes,,, you can estimate.. or use calculator to graph two equations.. one the left side and the other the right side// Answer would be 1.32472

Answer 17

You guys have contradicting answers, but its OK. I will just plot it on WolframAlpha and see what I get. Thanks in advance.

Answer 18

I graphed it and found the intersection point

Answer 19

http://www.wolframalpha.com/input/?i=%28x^3+-+1%29+%3D+ \sqrt[3]{x%2B1}

Answer 20

http://www.wolframalpha.com/input/?i=%28x^3+-+1%29+%3D+cube+root+of+%28x+%2B+1%29

Answer 21

Shucks. Had warrior posted it correctly the first time....

Answer 22

That explains why we had conflicting answers

Answer 23

Intersection point is (1.32, 1.32)