What are the solutions to the equation 3x-(3+2x^3)+5x=2(3x-13) ?

The solutions to the equation 3x-(3+2x^3)+5x=2(3x-13) are x\approx 2.40465…

Find the zeros of 3x-(3+2x^3)+5x=2(3x-13)

The zeros of 3x-(3+2x^3)+5x=2(3x-13) are x\approx 2.40465…

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3 x - (3 + 2 x^{3}) + 5 x = 2 (3 x - 13)

x \approx 2.40465 \dots

Solution steps

3 x - (3 + 2 x^{3}) + 5 x = 2 (3 x - 13)

Expand

3 x - (3 + 2 x^{3}) + 5 x : - 2 x^{3} + 8 x - 3

Expand

2 (3 x - 13) : 6 x - 26

- 2 x^{3} + 8 x - 3 = 6 x - 26

Move

26

to the left side

- 2 x^{3} + 8 x + 23 = 6 x

Move

6 x

to the left side

- 2 x^{3} + 2 x + 23 = 0

Find one solution for

- 2 x^{3} + 2 x + 23 = 0

using Newton-Raphson:

x \approx 2.40465 \dots

Apply long division:

\frac{- 2 x ^{3} + 2 x + 23}{x - 2.40465 \dots} = - 2 x^{2} - 4.80931 \dots x - 9.56476 \dots

- 2 x^{2} - 4.80931 \dots x - 9.56476 \dots \approx 0

Find one solution for

- 2 x^{2} - 4.80931 \dots x - 9.56476 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 2.40465 \dots

- 12 > 7 b + 2

(\frac{1}{10})^{- 2}

r^{2} + 1 = 0

x^{2} + 0^{2} + 4 x - 10 (0) + 4 = 0

\frac{3}{5} (\frac{3}{5})

What are the solutions to the equation 3x-(3+2x^3)+5x=2(3x-13) ?
The solutions to the equation 3x-(3+2x^3)+5x=2(3x-13) are x\approx 2.40465…
Find the zeros of 3x-(3+2x^3)+5x=2(3x-13)
The zeros of 3x-(3+2x^3)+5x=2(3x-13) are x\approx 2.40465…