Question

find the root of the equation x^4-x-10=0 using bisection method correct to 3 decimal places​

Answer 1

Step-by-step explanation:

What is the root of the equation x^4-x-10 =0 correct 4 decimal place using the

What is the root of the equation x4−x−10=0x4−x−10=0 correct to 44 decimal places using the Newton-Raphson method?

x4−x−10=0⇒x4=x+10.x4−x−10=0⇒x4=x+10.

⇒x4≈10⇒x≈±10−−√4≈±1.75.⇒x4≈10⇒x≈±104≈±1.75.

The equation has only two real roots.

Using the Newton-Raphson method, we can solve this equation as under:

Let f(x)=x4−x−10⇒f′(x)=4x3−1.f(x)=x4−x−10⇒f′(x)=4x3−1.

We want to determine the value of xx for which f(x)=0.f(x)=0.

Let the first estimate of xx be x1.x1.

Then, the second and better estimate would be x2=x1−f(x1)f′(x1).

Answer 2

Answer:

Step-by-step explanation: