What are the solutions to the equation -4h-5h^2+h^3-4=0 ?

The solutions to the equation -4h-5h^2+h^3-4=0 are h\approx 5.80738…

Find the zeros of -4h-5h^2+h^3-4=0

The zeros of -4h-5h^2+h^3-4=0 are h\approx 5.80738…

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- 4 h - 5 h^{2} + h^{3} - 4 = 0

h \approx 5.80738 \dots

Solution steps

- 4 h - 5 h^{2} + h^{3} - 4 = 0

Write in the standard form

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

h^{3} - 5 h^{2} - 4 h - 4 = 0

Find one solution for

h^{3} - 5 h^{2} - 4 h - 4 = 0

using Newton-Raphson:

h \approx 5.80738 \dots

Apply long division:

\frac{h ^{3} - 5 h ^{2} - 4 h - 4}{h - 5.80738 \dots} = h^{2} + 0.80738 \dots h + 0.68877 \dots

h^{2} + 0.80738 \dots h + 0.68877 \dots \approx 0

Find one solution for

h^{2} + 0.80738 \dots h + 0.68877 \dots = 0

using Newton-Raphson:

No Solution for

h \in R

The solution is

h \approx 5.80738 \dots

c^{3} - 5 c^{2} + 7 c - 9 = 100

25 x^{3} - 50 x^{2} - 4 x + 8 = 0

3 - (x - 1)^{4} = 0

p^{3} - 49 p = 0

8 = x^{4} - 2 x^{2}

What are the solutions to the equation -4h-5h^2+h^3-4=0 ?
The solutions to the equation -4h-5h^2+h^3-4=0 are h\approx 5.80738…
Find the zeros of -4h-5h^2+h^3-4=0
The zeros of -4h-5h^2+h^3-4=0 are h\approx 5.80738…