What are the solutions to the equation 2x^3-2x^2+5x=8 ?

The solutions to the equation 2x^3-2x^2+5x=8 are x\approx 1.34755…

Find the zeros of 2x^3-2x^2+5x=8

The zeros of 2x^3-2x^2+5x=8 are x\approx 1.34755…

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2 x^{3} - 2 x^{2} + 5 x = 8

x \approx 1.34755 \dots

Solution steps

2 x^{3} - 2 x^{2} + 5 x = 8

Move

8

to the left side

2 x^{3} - 2 x^{2} + 5 x - 8 = 0

Find one solution for

2 x^{3} - 2 x^{2} + 5 x - 8 = 0

using Newton-Raphson:

x \approx 1.34755 \dots

Apply long division:

\frac{2 x ^{3} - 2 x ^{2} + 5 x - 8}{x - 1.34755 \dots} = 2 x^{2} + 0.69510 \dots x + 5.93668 \dots

2 x^{2} + 0.69510 \dots x + 5.93668 \dots \approx 0

Find one solution for

2 x^{2} + 0.69510 \dots x + 5.93668 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 1.34755 \dots

x^{3} = 35

\frac{6 x ^{4}}{3} = 32

x^{3} = 63

45 x^{3} - 72 x^{2} + 37 x - 6 = 0

x^{3} = 7 x

What are the solutions to the equation 2x^3-2x^2+5x=8 ?
The solutions to the equation 2x^3-2x^2+5x=8 are x\approx 1.34755…
Find the zeros of 2x^3-2x^2+5x=8
The zeros of 2x^3-2x^2+5x=8 are x\approx 1.34755…