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

The solutions to the equation 3x^5-5x^3+4=0 are x\approx-1.45040…

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

The zeros of 3x^5-5x^3+4=0 are x\approx-1.45040…

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

x \approx - 1.45040 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx - 1.45040 \dots

Apply long division:

\frac{3 x ^{5} - 5 x ^{3} + 4}{x + 1.45040 \dots} = 3 x^{4} - 4.35120 \dots x^{3} + 1.31098 \dots x^{2} - 1.90144 \dots x + 2.75785 \dots

3 x^{4} - 4.35120 \dots x^{3} + 1.31098 \dots x^{2} - 1.90144 \dots x + 2.75785 \dots \approx 0

Find one solution for

3 x^{4} - 4.35120 \dots x^{3} + 1.31098 \dots x^{2} - 1.90144 \dots x + 2.75785 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 1.45040 \dots

s (2 s + 0.1)^{2} = 8 \cdot 1 0^{- 9}

3 x^{3} - x - 10 x = - x^{2} + 2 x

x^{4} - a^{4} = 0

x^{3} - 4 = 60

a (a^{2} - 2 a) = 0

What are the solutions to the equation 3x^5-5x^3+4=0 ?
The solutions to the equation 3x^5-5x^3+4=0 are x\approx-1.45040…
Find the zeros of 3x^5-5x^3+4=0
The zeros of 3x^5-5x^3+4=0 are x\approx-1.45040…