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

The solutions to the equation 2x^3-2x^2-5x=3 are x\approx 2.34137…

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

The zeros of 2x^3-2x^2-5x=3 are x\approx 2.34137…

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

x \approx 2.34137 \dots

Solution steps

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

Move

3

to the left side

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

Find one solution for

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

using Newton-Raphson:

x \approx 2.34137 \dots

Apply long division:

\frac{2 x ^{3} - 2 x ^{2} - 5 x - 3}{x - 2.34137 \dots} = 2 x^{2} + 2.68274 \dots x + 1.28130 \dots

2 x^{2} + 2.68274 \dots x + 1.28130 \dots \approx 0

Find one solution for

2 x^{2} + 2.68274 \dots x + 1.28130 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 2.34137 \dots

x^{4} + 12 x^{3} - 64 x^{2} = 0

x^{4} + 3 x^{2} - 54 = 0

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

(x - 3) (x + 4) (x + 6) = 0

0 = x^{3} + 2 x^{2} - 6 x + 8

What are the solutions to the equation 2x^3-2x^2-5x=3 ?
The solutions to the equation 2x^3-2x^2-5x=3 are x\approx 2.34137…
Find the zeros of 2x^3-2x^2-5x=3
The zeros of 2x^3-2x^2-5x=3 are x\approx 2.34137…