What are the solutions to the equation roots 12000x^3-85800x^2-300000 ?

The solutions to the equation roots 12000x^3-85800x^2-300000 are x\approx 7.58458…

Find the zeros of roots 12000x^3-85800x^2-300000

The zeros of roots 12000x^3-85800x^2-300000 are x\approx 7.58458…

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roots

12000 x^{3} - 85800 x^{2} - 300000

x \approx 7.58458 \dots

Solution steps

12000 x^{3} - 85800 x^{2} - 300000

The roots are the intercepts with the x-axis

(y = 0)

12000 x^{3} - 85800 x^{2} - 300000 = 0

Divide both sides by

12000

\frac{12000 x ^{3}}{12000} - \frac{85800 x ^{2}}{12000} - \frac{300000}{12000} = \frac{0}{12000}

Write in the standard form

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

x^{3} - \frac{143 x ^{2}}{20} - 25 = 0

Find one solution for

x^{3} - 7.15 x^{2} - 25 = 0

using Newton-Raphson:

x \approx 7.58458 \dots

Apply long division:

\frac{x ^{3} - \frac{143 x ^{2}}{20} - 25}{x - 7.58458 \dots} = x^{2} + 0.43458 \dots x + 3.29615 \dots

x^{2} + 0.43458 \dots x + 3.29615 \dots \approx 0

Find one solution for

x^{2} + 0.43458 \dots x + 3.29615 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 7.58458 \dots

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

- 0.024 = x^{4} - 2 \cdot x^{5} - x^{6}

z^{4} - 2 z^{3} + 5 z^{2} - 6 z + 6 = 0

m^{3} - m^{2} + 2 m - 2 = 0

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

What are the solutions to the equation roots 12000x^3-85800x^2-300000 ?
The solutions to the equation roots 12000x^3-85800x^2-300000 are x\approx 7.58458…
Find the zeros of roots 12000x^3-85800x^2-300000
The zeros of roots 12000x^3-85800x^2-300000 are x\approx 7.58458…