Use Newton's method to find all the roots of the equation correct to eight decimal places. Start by drawing a graph to find initial approximations. (Enter your answers as a comma-separated list.)
x6 − x5 − 6x4 − x2 + x + 9 = 0

Question

Use Newton's method to find all the roots of the equation correct to eight decimal places. Start by drawing a graph to find initial approximations. (Enter your answers as a comma-separated list.)
x6 − x5 − 6x4 − x2 + x + 9 = 0

pippins2 · Answer

these are the answers i got -1.95556800, -1.16872128, 1.10856481, 2.99241146 but its wrong

jim_thompson5910 · Answer

I think it may be due to how you round things. I'm not 100% sure though

For instance, I used a calculator to find one root to be -1.9555680074 which is accurate to 10 decimal places. Rounding to 8 decimal places gives -1.95556801

Compare this to what you got -1.95556800

-1.95556800
-1.95556801

the only difference is the 1 at the end

pippins2 · Answer

oh yeah its that way  because i only use 8 decimals but my answer is wrong

jim_thompson5910 · Answer

For the next root, I got -1.1687212853 accurate to 10 decimal places and that rounds to -1.16872129


Comparison of what I got to your result (mine listed first, yours listed next)
-1.16872129
-1.16872128

only the last digit is different

jim_thompson5910 · Answer

as I've shown in those 2 roots, you're only off by one decimal digit: the 8th decimal digit

pippins2 · Answer

i know but its still wrong with the 8th digit

jim_thompson5910 · Answer

oh, I see. Hmm well it sounds like the's a typo in the problem somewhere?