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

The solutions to the equation x^3+5x^2-2=0 are x\approx 0.59773…,x\approx-0.68044…,x\approx-4.91728…

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

The zeros of x^3+5x^2-2=0 are x\approx 0.59773…,x\approx-0.68044…,x\approx-4.91728…

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

x \approx 0.59773 \dots, x \approx - 0.68044 \dots, x \approx - 4.91728 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx 0.59773 \dots

Apply long division:

\frac{x ^{3} + 5 x ^{2} - 2}{x - 0.59773 \dots} = x^{2} + 5.59773 \dots x + 3.34596 \dots

x^{2} + 5.59773 \dots x + 3.34596 \dots \approx 0

Find one solution for

x^{2} + 5.59773 \dots x + 3.34596 \dots = 0

using Newton-Raphson:

x \approx - 0.68044 \dots

Apply long division:

\frac{x ^{2} + 5.59773 \dots x + 3.34596 \dots}{x + 0.68044 \dots} = x + 4.91728 \dots

x + 4.91728 \dots \approx 0

x \approx - 4.91728 \dots

The solutions are

x \approx 0.59773 \dots, x \approx - 0.68044 \dots, x \approx - 4.91728 \dots

x^{3} + 4 x^{2} + 5 x + 1 = 0

x^{3} + 27 + 3 (x + 3) = 0

(x) = 2 x^{3} - 1500

x^{4} - (x - 0.5)^{4} = 1 0^{4}

0 = x^{3} - x + 3

What are the solutions to the equation x^3+5x^2-2=0 ?
The solutions to the equation x^3+5x^2-2=0 are x\approx 0.59773…,x\approx-0.68044…,x\approx-4.91728…
Find the zeros of x^3+5x^2-2=0
The zeros of x^3+5x^2-2=0 are x\approx 0.59773…,x\approx-0.68044…,x\approx-4.91728…