X^2 + (i -3√2)X - 3√2.i = 0
solve this complex equation.
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ANSWER :- Here,
F(x) = (1/2)^x - x = 0
F’(x) = (1/2)^x*log(1/2) -1
first guess a closeby solution. Say x = 1/2 because square root of 1/2 will be ~ 0.707 and x = 0.5. They are pretty close by. Now let’s apply NR method
x1 = x0 - F(x0)/F’(x0)
x1 = 0.63899
x2 = x1 - F(x1)/F’(x1)
x2 = 0.64119
x3 = x2 - F(x2)/F’(x2)
x3 = 0.64119..
The solution has converged because the current solution and the previous solution are same. Even if you repeat it again, you’re going to make not much change for these significant digits.
You can check using calculator.
Answered by
1
Answer :-
Hi this is your answer !
Step-by-step explanation:
F(x) = (1/2)^x - x = 0
F’(x) = (1/2)^x*log(1/2) -1
first guess a closeby solution. Say x = 1/2 because square root of 1/2 will be ~ 0.707 and x = 0.5. They are pretty close by. Now let’s apply NR method
x1 = x0 - F(x0)/F’(x0)
x1 = 0.63899
x2 = x1 - F(x1)/F’(x1)
x2 = 0.64119
x3 = x2 - F(x2)/F’(x2)
x3 = 0.64119.
you can check if you want to !
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