What are the solutions to the equation -x^3+3x^2+x+3=0 ?

The solutions to the equation -x^3+3x^2+x+3=0 are x\approx 3.52510…

Find the zeros of -x^3+3x^2+x+3=0

The zeros of -x^3+3x^2+x+3=0 are x\approx 3.52510…

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- x^{3} + 3 x^{2} + x + 3 = 0

x \approx 3.52510 \dots

Solution steps

- x^{3} + 3 x^{2} + x + 3 = 0

Find one solution for

- x^{3} + 3 x^{2} + x + 3 = 0

using Newton-Raphson:

x \approx 3.52510 \dots

Apply long division:

\frac{- x ^{3} + 3 x ^{2} + x + 3}{x - 3.52510 \dots} = - x^{2} - 0.52510 \dots x - 0.85103 \dots

- x^{2} - 0.52510 \dots x - 0.85103 \dots \approx 0

Find one solution for

- x^{2} - 0.52510 \dots x - 0.85103 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 3.52510 \dots

\frac{[ ( 13 + x ) ( 13 - x ) ( 3 + x ) ( 3 - x ) ]}{16} = 144

x^{5} - 3 x^{2} + x + 10 = 0

(x^{2} + x - 6)^{2} - (x^{2} + 2 x + 1)^{2} = 0

x (x - 1)^{3} (x - 2)^{5} = 0

(x - 15)^{5} - (x - 15)^{3} = 0

What are the solutions to the equation -x^3+3x^2+x+3=0 ?
The solutions to the equation -x^3+3x^2+x+3=0 are x\approx 3.52510…
Find the zeros of -x^3+3x^2+x+3=0
The zeros of -x^3+3x^2+x+3=0 are x\approx 3.52510…