Maths - Reiny

Show that the equation 3x^2 - x^3 + 3 = 0 can be rearranged to give:

x = 3 + 3
----
x^2

x^3 =

Divide by ? = x = 3 + 3
----
x^2

Using Xn+1 = 3 + 3 with x0 = 3.2
----
x^2n

find the values of x1 x2 and x3?

What to the values of x1 x2 and x3 represent?

The represent estimates of a _____ to the equation?
Mathmatics - Reiny, Tuesday, January 3, 2017 at 10:46am
Just re-arrange it ....
3x^2 - x^3 + 3 = 0
-x^3 = -3x^2 - 3
x^3 = 3x^2 + 3
divide both sides by x^2

x = 3 + 3/x^2
let x = 3.2
RS = 3+ 3/10.24 = 3.29296875
sub that into the RS
RS = 3 + 3/(3.2929...)^2 = 3.276659...
new RS = 3.279420685
new RS = 3.278950402
new RS = 3.279030424
new RS = 3.279016806
new RS = 3.279019123
new RS = 3.279018729
new RS = 3.279018796

Hello, Reiny thank you for answering this question. What is the full answer for x2 I need the next 2 digits?

x1= 3.29296875
x2= 3.276659??
x3= 3.27942068

Thanks again. :)

1. 👍 0
2. 👎 0
3. 👁 127

Similar Questions

1. Mathmatics

Show that the equation 3x^2 - x^3 + 3 = 0 can be rearranged to give: x = 3 + 3 ---- x^2 x^3 = Divide by ? = x = 3 + 3 ---- x^2 Using Xn+1 = 3 + 3 with x0 = 3.2 ---- x^2n find the values of x1 x2 and x3? What to the values of x1 x2

asked by Joe on January 3, 2017
2. Maths - Cartesian Equations

Find the corresponding Cartesian equation for each pair of parametric equations: x = t - (1/t) and y = 2*[t + (1/t)] The answer is y^2/16 - x^2/4 = 1 I have no idea where to begin. I tried squaring both equations in hope to easily

asked by Jichu on December 27, 2016
3. Geometry

Within an orthonormal system consider points A(1,4) B(5,1) C(4,8) (a)Calculate the angle ABC (b)Show that 3x+4y-19=0 is an equation for line L which passes through A and B (c)Find a vector equation for line L (d)(i)give an

asked by Anonymous on May 4, 2008
4. maths

Select the option that is the equation y=2x-2 rearranged to make x the subject of the equation. Select one: x=y+1 or x=-y/2+1 or x=-y+1 or x=-y/2-2 or x=y/2=1 or x=y-2 or x=-y-2

asked by Marian on February 9, 2011
5. chemistry

Methane burns in air to give carbon dioxide and water. Give a chemical equation . Show(State ) how the mixtures of these gases can be separated

asked by clive on May 5, 2015
6. Algebra II

Provide three points on a graph for the equation y = -2/3x + 4. I have the points (0, 4) and (6, 0). Do you have any idea what a 3rd one might be? Ther are an infinite number of possibilities. Just pick any x you like (except for

asked by Rebecca on July 13, 2007
7. pre-algebra

Explain the basic method(steps) for graphing a linear equation. Can you give an example of a linear equation and show me how to graph the equation?

asked by Sherrie on November 19, 2011
8. Hyperbolas, comic sections

So I have this equation: 36x^2-121y^2=49 Which I rearranged to 36x^2/49-121y^2/49=1 So I want to go from here and find the eccentricity,foci,asymptotes etc... But I'm getting myself confused. Since my equation is of the form

asked by Mrbob on December 4, 2016
9. Chemistry 101

25 ml tartaric solution is tritrated with 31 ml ammonium equation rearranged for normality of ammonium: starting with N1V1=N2V2 N1= V1= v2= final answer N2=

asked by Renee on October 15, 2012
10. physics

Driving along a crowded freeway, you notice that it takes a time t to go from one mile marker to the next. When you increase your speed by 4.0 mi/h, the time to go one mile decreases by 11 s. What was your original speed? I used

asked by micole on May 13, 2007

More Similar Questions