What are the solutions to the equation 9.2=x^3-2x+5 ?

The solutions to the equation 9.2=x^3-2x+5 are x\approx 2.01976…

Find the zeros of 9.2=x^3-2x+5

The zeros of 9.2=x^3-2x+5 are x\approx 2.01976…

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

x \approx 2.01976 \dots

Solution steps

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

Multiply both sides by

10

92 = 10 x^{3} - 20 x + 50

Switch sides

10 x^{3} - 20 x + 50 = 92

Move

92

to the left side

10 x^{3} - 20 x - 42 = 0

Find one solution for

10 x^{3} - 20 x - 42 = 0

using Newton-Raphson:

x \approx 2.01976 \dots

Apply long division:

\frac{10 x ^{3} - 20 x - 42}{x - 2.01976 \dots} = 10 x^{2} + 20.19764 \dots x + 20.79450 \dots

10 x^{2} + 20.19764 \dots x + 20.79450 \dots \approx 0

Find one solution for

10 x^{2} + 20.19764 \dots x + 20.79450 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 2.01976 \dots

x^{3} + 6 x - 40 = 0

x^{3} + 4022 x = 2011 x^{2} + 2011

x (x^{2} + x + 1) = 0

y, x = 5 - 4 y^{3}

y^{3} - 4 y = 0

What are the solutions to the equation 9.2=x^3-2x+5 ?
The solutions to the equation 9.2=x^3-2x+5 are x\approx 2.01976…
Find the zeros of 9.2=x^3-2x+5
The zeros of 9.2=x^3-2x+5 are x\approx 2.01976…