anonymous
  • anonymous
Find an interval of length 0.1 in [1, 2] containing a root of the equation. (Enter your answer using interval notation.) x^7 + 7x − 10 = 0
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
asnaseer
  • asnaseer
dleather25: have you heard of the Newton-Raphson Method?
nikvist
  • nikvist
\[f(x)=x^7+7x-10\quad,\quad f(1)=-2\quad,\quad f(2)=132\]\[f(1.5)=17.586\quad[1,1.5]\]\[f(1.25)=3.518\quad[1,1.25]\]\[f(1.125)=0.156\quad[1,1.125]\]\[f(1.0625)=-1.034\quad\textbf{[1.0625,1.125]}\]
anonymous
  • anonymous
so do you just plug them in in th equation?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

asnaseer
  • asnaseer
yes - nikvist just started with the two extreme ends of the interval and then kept halving the interval until the solution converged to with 0.1
anonymous
  • anonymous
why did the 1 go up in the last one, but not any of the others?
asnaseer
  • asnaseer
because at each step, you test the interval on the left and the one on the right to see which one gets you closer to the answer.
anonymous
  • anonymous
oh okay, thanks
asnaseer
  • asnaseer
yw

Looking for something else?

Not the answer you are looking for? Search for more explanations.