Given an initial guess of x1 = 1, use the Newton-Raphson Method to fi๏ฟฝnd the second approximation x = x2 of the solution of the equation:

sqrt(x+3)=x

User Icon for Steve Steve answered
11 years ago

let f(x) = โˆš(x+3)-x

f'(x) = 1/(2โˆš(x+3)) - 1

so, we get

f(1.00000) = 1.00000 -- next x: 2.33333
f(2.33333) = -0.02393 -- next x: 2.30279
f(2.30279) = -0.00001 -- next x: 2.30278