Solve for x:

ln(x+1)+ 2 = x^2 – 8x + 12

4 answers

wow, that's a nasty one

do you have a graphing calculator?
if so, graph y = ln(x+1) and
y = x^2 - 8x + 10

zoom in on their intersection point.

I don't have one of those, but with a few trial and error calculations on my oldfashioned machine
I got x = appr 1.38
can't use a graphing calculator (not allowed). I'm trying to find the area between curves, if that helps.
I ran your equation through a Newton's Method program I have, and I got
x = 1.3795 and
x = 6.83885

If you are going to find area, you might have to integrate ln(x+1)....

hint: take the derivative of
g(x) = (x+1)ln(x+1) and see what you get.
mckendrick?
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