Teaching HSSC TGT 2023 Mock Test (Latest Pattern) Engineering Mathematics Numerical Methods Numerical Solutions of Nonlinear Algebraic Equations
The iterative formula to find the root of the equation f(x) = x3 - 5x + 7 = 0 by the Newton Raphson method is ______.
1
\({x_{k + 1}}\, = \,\frac{{x_k^3\, - \,5x}}{{3x_k^2 + 7}}\)
2
\({x_{k + 1}}\, = \,\frac{{2x_k^3\, + \,5x}}{{3x_k^2 + 7}}\)
3
\({x_{k + 1}}\, = \,\frac{{2x_k^3\, - \,7}}{{3x_k^2 - 5}}\)
4
\({x_{k + 1}}\, = \,\frac{{x_k^3\, + \,5x - 7}}{{3x_k^2 + 5}}\)
5
Not Attempted