What are the solutions to the equation 36x^2+9x^3-x+4=0 ?

The solutions to the equation 36x^2+9x^3-x+4=0 are x\approx-4.05444…

Find the zeros of 36x^2+9x^3-x+4=0

The zeros of 36x^2+9x^3-x+4=0 are x\approx-4.05444…

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36 x^{2} + 9 x^{3} - x + 4 = 0

x \approx - 4.05444 \dots

Solution steps

36 x^{2} + 9 x^{3} - x + 4 = 0

Write in the standard form

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

9 x^{3} + 36 x^{2} - x + 4 = 0

Find one solution for

9 x^{3} + 36 x^{2} - x + 4 = 0

using Newton-Raphson:

x \approx - 4.05444 \dots

Apply long division:

\frac{9 x ^{3} + 36 x ^{2} - x + 4}{x + 4.05444 \dots} = 9 x^{2} - 0.48997 \dots x + 0.98657 \dots

9 x^{2} - 0.48997 \dots x + 0.98657 \dots \approx 0

Find one solution for

9 x^{2} - 0.48997 \dots x + 0.98657 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 4.05444 \dots

x^{2} (x^{2} - 1) = 16 (x^{2} - 1)

x^{3} - 4 x^{2} + 13 x = 0

x^{3} - 5 x + 6 = 2.2

x + x^{2} + 400 x^{3} = 11500

6 x^{4} - x^{3} - 22 x^{2} + 11 x + 6 = 0

What are the solutions to the equation 36x^2+9x^3-x+4=0 ?
The solutions to the equation 36x^2+9x^3-x+4=0 are x\approx-4.05444…
Find the zeros of 36x^2+9x^3-x+4=0
The zeros of 36x^2+9x^3-x+4=0 are x\approx-4.05444…