Question

tell me working rule of birge vieta method ​

Answer 1

Birge-Vieta Method. Birge-Vieta Method This is an iterative method to find a real root of the nth degree polynomial equation f(x) = Pn(x) = 0 of the form. an xn + an-1 xn-1 + . . . + a1 x + a0 = 0 The theory can be understood better if we consider the above nth degree polynomial in the form. xn + a1 xn-1 + a2 xn-2 + . ...

Answer 2

This is an iterative method to find a real root of the nth degree polynomial equation f(x) = Pn(x) = 0 of the form

an xn + an-1 xn-1 + . . . + a1 x + a0 = 0

The theory can be understood better if we consider the above nth degree polynomial in the form

xn + a1 xn-1 + a2 xn-2 + . . . + an-1x + an = 0

If s is a real root of Pn(x) = 0 then Pn(x) = (x-s)Qn-1(x) where Qn-1(x) is an (n-1)th degree polynomial of the form

Qn-1(x) = xn-1 + b1 xn-2 + . . . + bn-2x + bn-1.