What are the solutions to the equation x^34x^2+5x+5=0 ?

The solutions to the equation x^34x^2+5x+5=0 are x\approx-0.77554…

Find the zeros of x^34x^2+5x+5=0

The zeros of x^34x^2+5x+5=0 are x\approx-0.77554…

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

x \approx - 0.77554 \dots

Solution steps

x^{3} \cdot 4 x^{2} + 5 x + 5 = 0

Refine

4 x^{5} + 5 x + 5 = 0

Find one solution for

4 x^{5} + 5 x + 5 = 0

using Newton-Raphson:

x \approx - 0.77554 \dots

Apply long division:

\frac{4 x ^{5} + 5 x + 5}{x + 0.77554 \dots} = 4 x^{4} - 3.10218 \dots x^{3} + 2.40588 \dots x^{2} - 1.86587 \dots x + 6.44707 \dots

4 x^{4} - 3.10218 \dots x^{3} + 2.40588 \dots x^{2} - 1.86587 \dots x + 6.44707 \dots \approx 0

Find one solution for

4 x^{4} - 3.10218 \dots x^{3} + 2.40588 \dots x^{2} - 1.86587 \dots x + 6.44707 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 0.77554 \dots

512 = x^{3}

z^{4} + i z^{2} + 2 = 0

8 x^{3} - 52 x^{2} + 78 x - 27 = 0

3 x^{3} + 48 = 0

\frac{1}{6} a^{4} = 1, a^{2} = 1

What are the solutions to the equation x^34x^2+5x+5=0 ?
The solutions to the equation x^34x^2+5x+5=0 are x\approx-0.77554…
Find the zeros of x^34x^2+5x+5=0
The zeros of x^34x^2+5x+5=0 are x\approx-0.77554…