Posted by **Lucy** on Sunday, August 31, 2008 at 2:42pm.

Approximate the greatest real zero of the function g(x)= x^3-3x+1 to the nearest tenth.

I know that there is a zero between -2 and -1, and another between 0 and 1 but do not know how to find it to the nearest tenth. The only example shown in my book uses a calculator and mine does not have instructions for the same functions as the one in the book. I have checked for online calculators and cannot find one to do the calculations either.

Any help would be great as I have to get finished with math this week.

Thanks

- Pre-Calculus -
**David Q**, Sunday, August 31, 2008 at 3:50pm
Try solving it iteratively: if g(X)=0, then X^3-3X+1=0, so rearrange the equation to read

X = (3X-1)^(1/3)

Not put X = 2, and evaluate the function. You'll get about 1.71. Feed that into the equation again, and you'll get about 1.60. Keep going for a few more iterations until it settles down. Then try feeding it into the original equation and see if it works.

## Answer This Question

## Related Questions

- Pre-calculus - Approximate the greatest real zero of the function g(x)=x^3-3x+1 ...
- Pre-calculus - Given f(x)=6x^4-7x^3-23x^2+14x+3, approximate each real zero as a...
- Pre-Cal - Find the greatest integral upper bound of the zeros for the following ...
- calculus - Use the Newton method to approximate the indicated zero of the ...
- pre-calculus - find a bound on the real zeros of the polynomial functions. f(x)=...
- pre-calculus - the function has a real zero in the given interval. approximate ...
- Algebra - 1.Solve 2x = 5x2 for x. A. 2.322 B. 0.431 C. 0 and 2.322 D. 0 and 0....
- calculus - Find the interval which contains a zero for the given function. The ...
- Pre-Calculus-check answers - Find the number of possible negative real zeros for...
- Pre-Calculus-check answers - Find the number of possible negative real zeros for...

More Related Questions