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. :)

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