Math, asked by SubhamoyBhattacharya, 8 months ago

X^2 + (i -3√2)X - 3√2.i = 0
solve this complex equation.

Answers

Answered by ronaldoChristiano

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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.

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Answered by Anonymous

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

X^2 + (i -3√2)X - 3√2.i = 0solve this complex equation.​

Answers

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ANSWER :- Here,

Answer :-

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.

X^2 + (i -3√2)X - 3√2.i = 0
solve this complex equation.