What are the solutions to the equation -16x-4x^3=164 ?

The solutions to the equation -16x-4x^3=164 are x\approx-3.06334…

Find the zeros of -16x-4x^3=164

The zeros of -16x-4x^3=164 are x\approx-3.06334…

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- 16 x - 4 x^{3} = 164

x \approx - 3.06334 \dots

Solution steps

- 16 x - 4 x^{3} = 164

Move

164

to the left side

- 16 x - 4 x^{3} - 164 = 0

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

- 4 x^{3} - 16 x - 164 = 0

Find one solution for

- 4 x^{3} - 16 x - 164 = 0

using Newton-Raphson:

x \approx - 3.06334 \dots

Apply long division:

\frac{- 4 x ^{3} - 16 x - 164}{x + 3.06334 \dots} = - 4 x^{2} + 12.25337 \dots x - 53.53628 \dots

- 4 x^{2} + 12.25337 \dots x - 53.53628 \dots \approx 0

Find one solution for

- 4 x^{2} + 12.25337 \dots x - 53.53628 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 3.06334 \dots

20 x^{3} + 60 x^{2} = 0

x^{23} x + 2 = 0

2 x^{3} - 16 x^{2} - 40 x = 0

x^{3} = - 1000

x^{4} + 1

What are the solutions to the equation -16x-4x^3=164 ?
The solutions to the equation -16x-4x^3=164 are x\approx-3.06334…
Find the zeros of -16x-4x^3=164
The zeros of -16x-4x^3=164 are x\approx-3.06334…