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GATE2018 CE2: 20
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The quadratic equation $2x^2  3x +3=0$ is to be solved numerically starting with an initial guess as $x_0=2$. The new estimate of $x$ after the first iteration using NewtonRaphson method is ___
gate2018ce2
newtonraphsonmethod
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Feb 17, 2018
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Numerical Methods
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gatecse
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Lakshman Patel RJIT
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F(x) = 2x^2  3x + 3 , x0 = 2
using Newton Raphson method
X(n+1) = Xn  F(Xn)/F’(Xn)
So, F(x) = 2x^2  3x + 3
& F’(x) = 4x  3
F(2) = 5
F’(2) = 5
therefore X1 = X0  F(X0)/ F’(X0)
= 21 = 1
answered
Feb 17, 2018
by
Pushpendra Tiwari
selected
Feb 17, 2018
by
gatecse
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