Question

Find a root of the equation x^2-4x-10=0 using Bisection method

Answer 1

Step-by-step explanation:

let f(x)= x^2-4x-10 We know that the function is continuos and hence the bisection method is applicable.

f(5)= -5 & f(6)= 2 As the function changes its sign in (5,6) the solution to f(x)= 0 must lie in the (5,6).

Left Endpoint(p1)....... Right End point(p2).... Midpoint(p)............... F(p)

5.............................. 6............................. 5.5......................... -1.75

5.5............................6............................. 5.75...........................0.0625

5.5............................5.75......................... 5.625........................-0.859375

5.625........................5.75.......................... 5.6875...........................?

Go on calculating simailarily tll the desired accuray is reached.

This method can best predict the smallest interval u wish in which the solution will lie but may not be able to give the exact answer.