What are the solutions to the equation 2x^2-5x^3+1=0 ?

The solutions to the equation 2x^2-5x^3+1=0 are x\approx 0.75285…

Find the zeros of 2x^2-5x^3+1=0

The zeros of 2x^2-5x^3+1=0 are x\approx 0.75285…

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

x \approx 0.75285 \dots

Solution steps

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

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

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

Find one solution for

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

using Newton-Raphson:

x \approx 0.75285 \dots

Apply long division:

\frac{- 5 x ^{3} + 2 x ^{2} + 1}{x - 0.75285 \dots} = - 5 x^{2} - 1.76429 \dots x - 1.32826 \dots

- 5 x^{2} - 1.76429 \dots x - 1.32826 \dots \approx 0

Find one solution for

- 5 x^{2} - 1.76429 \dots x - 1.32826 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 0.75285 \dots

x^{3} + 2 = 9

3 x^{3} - x^{2} + 6 x - 2 = 0

\frac{1}{64} = X^{3}

x, 2 x^{3} + 4 x^{2} - 9 = 0

- x^{3} + 9 x^{2} - 26 x + 24 = 0

What are the solutions to the equation 2x^2-5x^3+1=0 ?
The solutions to the equation 2x^2-5x^3+1=0 are x\approx 0.75285…
Find the zeros of 2x^2-5x^3+1=0
The zeros of 2x^2-5x^3+1=0 are x\approx 0.75285…