What are the solutions to the equation -10x-(9x+6)=3+x^3+x ?

The solutions to the equation -10x-(9x+6)=3+x^3+x are x\approx-0.44557…

Find the zeros of -10x-(9x+6)=3+x^3+x

The zeros of -10x-(9x+6)=3+x^3+x are x\approx-0.44557…

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- 10 x - (9 x + 6) = 3 + x^{3} + x

x \approx - 0.44557 \dots

Solution steps

- 10 x - (9 x + 6) = 3 + x^{3} + x

Expand

- 10 x - (9 x + 6) : - 19 x - 6

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

Switch sides

3 + x^{3} + x = - 19 x - 6

Move

6

to the left side

x^{3} + x + 9 = - 19 x

Move

19 x

to the left side

x^{3} + 20 x + 9 = 0

Find one solution for

x^{3} + 20 x + 9 = 0

using Newton-Raphson:

x \approx - 0.44557 \dots

Apply long division:

\frac{x ^{3} + 20 x + 9}{x + 0.44557 \dots} = x^{2} - 0.44557 \dots x + 20.19853 \dots

x^{2} - 0.44557 \dots x + 20.19853 \dots \approx 0

Find one solution for

x^{2} - 0.44557 \dots x + 20.19853 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 0.44557 \dots

x^{4} = 20736

x^{3} + x^{2} - 36 x - 36 = 0

x^{3} - 11 x^{2} + 38 x - 44 = 0

x, y^{2} = 2 x^{4} + 6

x^{5} = 64

What are the solutions to the equation -10x-(9x+6)=3+x^3+x ?
The solutions to the equation -10x-(9x+6)=3+x^3+x are x\approx-0.44557…
Find the zeros of -10x-(9x+6)=3+x^3+x
The zeros of -10x-(9x+6)=3+x^3+x are x\approx-0.44557…