Question

Use Newton's method to find all roots of the equation correct to six decimal places. (Enter your answers as a comma-separated list.)
(x − 9)^2 =ln x

Answer 1

let f(x) = (x-9)^2 - ln x
f(7) = 4-ln7 > 0
f(8) = 1-ln8 < 0
f(9) = 0-ln9 < 0
f(10) = 1-ln10 < 0
f(11) = 4-ln11 > 0

So, you can see where to make your guesses.