What are the solutions to the equation x^3-3x+4=5.9 ?

The solutions to the equation x^3-3x+4=5.9 are x\approx-1.17740…,x\approx-0.81140…,x\approx 1.98880…

Find the zeros of x^3-3x+4=5.9

The zeros of x^3-3x+4=5.9 are x\approx-1.17740…,x\approx-0.81140…,x\approx 1.98880…

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x^{3} - 3 x + 4 = 5.9

x \approx - 1.17740 \dots, x \approx - 0.81140 \dots, x \approx 1.98880 \dots

Solution steps

x^{3} - 3 x + 4 = 5.9

Multiply both sides by

10

10 x^{3} - 30 x + 40 = 59

Move

59

to the left side

10 x^{3} - 30 x - 19 = 0

Find one solution for

10 x^{3} - 30 x - 19 = 0

using Newton-Raphson:

x \approx - 1.17740 \dots

Apply long division:

\frac{10 x ^{3} - 30 x - 19}{x + 1.17740 \dots} = 10 x^{2} - 11.77404 \dots x - 16.13719 \dots

10 x^{2} - 11.77404 \dots x - 16.13719 \dots \approx 0

Find one solution for

10 x^{2} - 11.77404 \dots x - 16.13719 \dots = 0

using Newton-Raphson:

x \approx - 0.81140 \dots

Apply long division:

\frac{10 x ^{2} - 11.77404 \dots x - 16.13719 \dots}{x + 0.81140 \dots} = 10 x - 19.88805 \dots

10 x - 19.88805 \dots \approx 0

x \approx 1.98880 \dots

The solutions are

x \approx - 1.17740 \dots, x \approx - 0.81140 \dots, x \approx 1.98880 \dots

x^{3} - 19 x^{2} + 90 x = 0

x^{4} + x^{3} - 2 x^{2} + 4 x - 24 = 0

- x^{3} + 6 x^{2} + 15 x = 20

x^{4} - 7 x^{2} + x + 17 = 0

0 = x^{5} - 5 x

What are the solutions to the equation x^3-3x+4=5.9 ?
The solutions to the equation x^3-3x+4=5.9 are x\approx-1.17740…,x\approx-0.81140…,x\approx 1.98880…
Find the zeros of x^3-3x+4=5.9
The zeros of x^3-3x+4=5.9 are x\approx-1.17740…,x\approx-0.81140…,x\approx 1.98880…