What are the solutions to the equation 4x^3+x-5=2 ?

The solutions to the equation 4x^3+x-5=2 are x\approx 1.13599…

Find the zeros of 4x^3+x-5=2

The zeros of 4x^3+x-5=2 are x\approx 1.13599…

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4 x^{3} + x - 5 = 2

x \approx 1.13599 \dots

Solution steps

4 x^{3} + x - 5 = 2

Move

2

to the left side

4 x^{3} + x - 7 = 0

Find one solution for

4 x^{3} + x - 7 = 0

using Newton-Raphson:

x \approx 1.13599 \dots

Apply long division:

\frac{4 x ^{3} + x - 7}{x - 1.13599 \dots} = 4 x^{2} + 4.54399 \dots x + 6.16197 \dots

4 x^{2} + 4.54399 \dots x + 6.16197 \dots \approx 0

Find one solution for

4 x^{2} + 4.54399 \dots x + 6.16197 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 1.13599 \dots

x^{6} - 35 x^{3} + 216 = 0

x^{4} - 8 x = 0

(u^{2} + 8 u + 7) (5 u - 40) = 0

x^{3} - 2 x^{2} - 8 x = 0

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

What are the solutions to the equation 4x^3+x-5=2 ?
The solutions to the equation 4x^3+x-5=2 are x\approx 1.13599…
Find the zeros of 4x^3+x-5=2
The zeros of 4x^3+x-5=2 are x\approx 1.13599…