What are the solutions to the equation (x+3)(x-5)-(x-1)^3-2(x+3)=20 ?

The solutions to the equation (x+3)(x-5)-(x-1)^3-2(x+3)=20 are x\approx-2.05623…

Find the zeros of (x+3)(x-5)-(x-1)^3-2(x+3)=20

The zeros of (x+3)(x-5)-(x-1)^3-2(x+3)=20 are x\approx-2.05623…

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(x + 3) (x - 5) - (x - 1)^{3} - 2 (x + 3) = 20

x \approx - 2.05623 \dots

Solution steps

(x + 3) (x - 5) - (x - 1)^{3} - 2 (x + 3) = 20

Expand

(x + 3) (x - 5) - (x - 1)^{3} - 2 (x + 3) : - x^{3} + 4 x^{2} - 7 x - 20

- x^{3} + 4 x^{2} - 7 x - 20 = 20

Move

20

to the left side

- x^{3} + 4 x^{2} - 7 x - 40 = 0

Find one solution for

- x^{3} + 4 x^{2} - 7 x - 40 = 0

using Newton-Raphson:

x \approx - 2.05623 \dots

Apply long division:

\frac{- x ^{3} + 4 x ^{2} - 7 x - 40}{x + 2.05623 \dots} = - x^{2} + 6.05623 \dots x - 19.45303 \dots

- x^{2} + 6.05623 \dots x - 19.45303 \dots \approx 0

Find one solution for

- x^{2} + 6.05623 \dots x - 19.45303 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 2.05623 \dots

7 x^{5} + x + 730 + x = 81

x^{5} = 48

x^{3} + 343 = 0

y^{5} - 14 y^{4} + 4 y^{3} = 0

x^{3} = 8000

What are the solutions to the equation (x+3)(x-5)-(x-1)^3-2(x+3)=20 ?
The solutions to the equation (x+3)(x-5)-(x-1)^3-2(x+3)=20 are x\approx-2.05623…
Find the zeros of (x+3)(x-5)-(x-1)^3-2(x+3)=20
The zeros of (x+3)(x-5)-(x-1)^3-2(x+3)=20 are x\approx-2.05623…