What are the solutions to the equation x^3+x^2-1=0 ?

The solutions to the equation x^3+x^2-1=0 are x\approx 0.75487…

Find the zeros of x^3+x^2-1=0

The zeros of x^3+x^2-1=0 are x\approx 0.75487…

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x^{3} + x^{2} - 1 = 0

x \approx 0.75487 \dots

Solution steps

x^{3} + x^{2} - 1 = 0

Find one solution for

x^{3} + x^{2} - 1 = 0

using Newton-Raphson:

x \approx 0.75487 \dots

Apply long division:

\frac{x ^{3} + x ^{2} - 1}{x - 0.75487 \dots} = x^{2} + 1.75487 \dots x + 1.32471 \dots

x^{2} + 1.75487 \dots x + 1.32471 \dots \approx 0

Find one solution for

x^{2} + 1.75487 \dots x + 1.32471 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 0.75487 \dots

x^{3} - 8 x^{2} + 29 x - 52 = 0

(1 + 0.35) = (1 + x)^{3}

r^{3} - r^{2} - 3 r - 1 = 0

a, a^{4} + b^{4} = 1

a, a^{4} + b^{4} = 0

What are the solutions to the equation x^3+x^2-1=0 ?
The solutions to the equation x^3+x^2-1=0 are x\approx 0.75487…
Find the zeros of x^3+x^2-1=0
The zeros of x^3+x^2-1=0 are x\approx 0.75487…