1. The problem statement, all variables and given/known data Show that a root of the equation x3 - 3x - 5 =0 lies in the interval [2,3], and then find the root using linear interpolation correct to one decimal place. 2. Relevant equations n/a 3. The attempt at a solution This is my first ever time using interpolants ( well at least in the sense of solving a polynomial. I think I've used them before... but instinctively.) This is what I did: 3 [tex]\div[/tex] 13 = (x1 - 2) [tex]\div[/tex] (3-x1) to end up with x1 = 2.1875. I went on to get the third approximation only to find out that it was outside the range (less than 2). I checked what the solution said, and it said: 3 [tex]\div[/tex] 13 = (3-x1) [tex]\div[/tex] (x1 - 2) I'm utterly confused. Please help.