What are the solutions to the equation 2x^3-3x^2+12x-16=0 ?

The solutions to the equation 2x^3-3x^2+12x-16=0 are x\approx 1.37318…

Find the zeros of 2x^3-3x^2+12x-16=0

The zeros of 2x^3-3x^2+12x-16=0 are x\approx 1.37318…

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2 x^{3} - 3 x^{2} + 12 x - 16 = 0

x \approx 1.37318 \dots

Solution steps

2 x^{3} - 3 x^{2} + 12 x - 16 = 0

Find one solution for

2 x^{3} - 3 x^{2} + 12 x - 16 = 0

using Newton-Raphson:

x \approx 1.37318 \dots

Apply long division:

\frac{2 x ^{3} - 3 x ^{2} + 12 x - 16}{x - 1.37318 \dots} = 2 x^{2} - 0.25362 \dots x + 11.65172 \dots

2 x^{2} - 0.25362 \dots x + 11.65172 \dots \approx 0

Find one solution for

2 x^{2} - 0.25362 \dots x + 11.65172 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 1.37318 \dots

r^{8} + 8 r^{4} + 16 = 0

x^{4} + 2 x^{3} - 9 x^{2} - 2 x + 8 = 0

- x^{3} - 6 x^{2} + 48 x + 278

2 x^{3} - 11 x^{2} + 12 x + 9

2 x^{4} - x^{3} - 7 x^{2} + x + 2 = 0

What are the solutions to the equation 2x^3-3x^2+12x-16=0 ?
The solutions to the equation 2x^3-3x^2+12x-16=0 are x\approx 1.37318…
Find the zeros of 2x^3-3x^2+12x-16=0
The zeros of 2x^3-3x^2+12x-16=0 are x\approx 1.37318…