given: x12+2x2-2=0
x1+4x22-4=0
Let (x10;x20)=(1;2) be an initial guess to (x1;x2). Compute the first approximation (x1(1);x2(1)) using the Newton method.
x1²+2x2=2
x1+4x²=4
let x⁰1,=1 and x⁰2=2
=-2(2)+2=-2
hence first appropriation x¹1=-1 and x¹2= 1
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