What are the solutions to the equation x^3+3x-4=5 ?

The solutions to the equation x^3+3x-4=5 are x\approx 1.60969…

Find the zeros of x^3+3x-4=5

The zeros of x^3+3x-4=5 are x\approx 1.60969…

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x^{3} + 3 x - 4 = 5

x \approx 1.60969 \dots

Solution steps

x^{3} + 3 x - 4 = 5

Move

5

to the left side

x^{3} + 3 x - 9 = 0

Find one solution for

x^{3} + 3 x - 9 = 0

using Newton-Raphson:

x \approx 1.60969 \dots

Apply long division:

\frac{x ^{3} + 3 x - 9}{x - 1.60969 \dots} = x^{2} + 1.60969 \dots x + 5.59111 \dots

x^{2} + 1.60969 \dots x + 5.59111 \dots \approx 0

Find one solution for

x^{2} + 1.60969 \dots x + 5.59111 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 1.60969 \dots

(x) = (x - 5) (x + 2) (x - 4)

2840 = 1000 \cdot (1 + x)^{5}

x^{4} + 2 x^{3} - 13 x^{2} - 14 x = - 24

x^{3} - 8 x^{2} - 16 x + 128 = 0

(1 - x) \cdot (2 - x) \cdot (3 - x) = 0

What are the solutions to the equation x^3+3x-4=5 ?
The solutions to the equation x^3+3x-4=5 are x\approx 1.60969…
Find the zeros of x^3+3x-4=5
The zeros of x^3+3x-4=5 are x\approx 1.60969…