What are the solutions to the equation x(x^2+3)=8 ?

The solutions to the equation x(x^2+3)=8 are x\approx 1.51274…

Find the zeros of x(x^2+3)=8

The zeros of x(x^2+3)=8 are x\approx 1.51274…

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x (x^{2} + 3) = 8

x \approx 1.51274 \dots

Solution steps

x (x^{2} + 3) = 8

Expand

x (x^{2} + 3) : x^{3} + 3 x

x^{3} + 3 x = 8

Move

8

to the left side

x^{3} + 3 x - 8 = 0

Find one solution for

x^{3} + 3 x - 8 = 0

using Newton-Raphson:

x \approx 1.51274 \dots

Apply long division:

\frac{x ^{3} + 3 x - 8}{x - 1.51274 \dots} = x^{2} + 1.51274 \dots x + 5.28839 \dots

x^{2} + 1.51274 \dots x + 5.28839 \dots \approx 0

Find one solution for

x^{2} + 1.51274 \dots x + 5.28839 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 1.51274 \dots

y^{3} + y^{2} = 49 y + 49

2 x^{3} = 10 x

2 x^{3} = 128

3 (4 g^{6}) = 2 (6 g^{9})

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

What are the solutions to the equation x(x^2+3)=8 ?
The solutions to the equation x(x^2+3)=8 are x\approx 1.51274…
Find the zeros of x(x^2+3)=8
The zeros of x(x^2+3)=8 are x\approx 1.51274…