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GATE2018 CE-2: 20
gatecse
asked
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Numerical Methods
Feb 17, 2018
edited
Mar 11, 2021
by
Lakshman Patel RJIT
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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 Newton-Raphson method is _________
gate2018-ce-2
numerical-methods
newton-raphson-method
numerical-answers
gatecse
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Numerical Methods
Feb 17, 2018
edited
Mar 11, 2021
by
Lakshman Patel RJIT
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gatecse
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Best answer
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)
= 2-1 = 1
Pushpendra Tiwari
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Feb 17, 2018
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Feb 17, 2018
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Pushpendra Tiwari
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