What are the solutions to the equation x^3+300x=3000 ?

The solutions to the equation x^3+300x=3000 are x\approx 8.17731…

Find the zeros of x^3+300x=3000

The zeros of x^3+300x=3000 are x\approx 8.17731…

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x^{3} + 300 x = 3000

x \approx 8.17731 \dots

Solution steps

x^{3} + 300 x = 3000

Move

3000

to the left side

x^{3} + 300 x - 3000 = 0

Find one solution for

x^{3} + 300 x - 3000 = 0

using Newton-Raphson:

x \approx 8.17731 \dots

Apply long division:

\frac{x ^{3} + 300 x - 3000}{x - 8.17731 \dots} = x^{2} + 8.17731 \dots x + 366.86850 \dots

x^{2} + 8.17731 \dots x + 366.86850 \dots \approx 0

Find one solution for

x^{2} + 8.17731 \dots x + 366.86850 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 8.17731 \dots

x^{4} = 1000 x

x^{3} - 4 x = 2 x

- 32 x^{2} + 4 x^{3} - x + 8 = 0

z, z^{4} - 9 = 0

- (x - 1)^{3} = 8

What are the solutions to the equation x^3+300x=3000 ?
The solutions to the equation x^3+300x=3000 are x\approx 8.17731…
Find the zeros of x^3+300x=3000
The zeros of x^3+300x=3000 are x\approx 8.17731…