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

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

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

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

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

x \approx 2.01976 \dots

Solution steps

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

Multiply both sides by

10

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, x^{3} = y

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

x, x^{3} = 8

x, x^{3} = 1

s^{3} + 4 s^{2} + 5 s + 2 = 0

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