Please tell me how to use Newton's Method to approximate the root off(x)=x35x2+5x1 near x=4 to decimal places

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f(x)=3x210x+5

x₁=4

x₂ =x₁ -f(x₁) / f'(x₁) ---> f(x)= 3

f' (x) =13 ---> x₂= 3/ 13= 2.7 ----> continue to x₃ by x₂ = 2.7

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I'm not sure if correct way to calculate the problem. I tried to calculate it from x₂ to x_5, but the answer is incorrect. (The answer suppose to found in x₄ but it didn't ) .

Please tell me how to find the answer.