Teaching DSSSB TGT Mock Test 2025 Engineering Mathematics Numerical Methods Numerical Solutions of Nonlinear Algebraic Equations
न्यूटन रफसन विधि द्वारा समीकरण f(x) = x3 - 5x + 7 = 0 का मूल ज्ञात करने का पुनरावृत्त (इटरेटिव) सूत्र ______होगा।
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
\({x_{k + 1}}\, = \,\frac{{x_k^3\, + \,5x - 7}}{{3x_k^2 + 5}}\)