What are the solutions to the equation x^3-2x^2-5=0 ?

The solutions to the equation x^3-2x^2-5=0 are x\approx 2.69064…

Find the zeros of x^3-2x^2-5=0

The zeros of x^3-2x^2-5=0 are x\approx 2.69064…

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x^{3} - 2 x^{2} - 5 = 0

x \approx 2.69064 \dots

Solution steps

x^{3} - 2 x^{2} - 5 = 0

Find one solution for

x^{3} - 2 x^{2} - 5 = 0

using Newton-Raphson:

x \approx 2.69064 \dots

Apply long division:

\frac{x ^{3} - 2 x ^{2} - 5}{x - 2.69064 \dots} = x^{2} + 0.69064 \dots x + 1.85828 \dots

x^{2} + 0.69064 \dots x + 1.85828 \dots \approx 0

Find one solution for

x^{2} + 0.69064 \dots x + 1.85828 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 2.69064 \dots

6 x^{5} - 24 x = 0

15 x^{4} - 11 x^{2} + 2 = 0

x^{4} - 50 x^{2} + 49 = 0

10 x^{4} - 27 x^{3} + 18 x^{2} = 0

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

What are the solutions to the equation x^3-2x^2-5=0 ?
The solutions to the equation x^3-2x^2-5=0 are x\approx 2.69064…
Find the zeros of x^3-2x^2-5=0
The zeros of x^3-2x^2-5=0 are x\approx 2.69064…