What are the solutions to the equation x=524x^3-2x^2-70x-75 ?

The solutions to the equation x=524x^3-2x^2-70x-75 are x\approx 0.61022…

Find the zeros of x=524x^3-2x^2-70x-75

The zeros of x=524x^3-2x^2-70x-75 are x\approx 0.61022…

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x = 524 x^{3} - 2 x^{2} - 70 x - 75

x \approx 0.61022 \dots

Solution steps

x = 524 x^{3} - 2 x^{2} - 70 x - 75

Switch sides

524 x^{3} - 2 x^{2} - 70 x - 75 = x

Move

x

to the left side

524 x^{3} - 2 x^{2} - 71 x - 75 = 0

Find one solution for

524 x^{3} - 2 x^{2} - 71 x - 75 = 0

using Newton-Raphson:

x \approx 0.61022 \dots

Apply long division:

\frac{524 x ^{3} - 2 x ^{2} - 71 x - 75}{x - 0.61022 \dots} = 524 x^{2} + 317.75894 \dots x + 122.90508 \dots

524 x^{2} + 317.75894 \dots x + 122.90508 \dots \approx 0

Find one solution for

524 x^{2} + 317.75894 \dots x + 122.90508 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 0.61022 \dots

x^{3} + 3 = 0

x^{4} = 100

12 = 4 c [x^{7}]

x^{4} - 36 x^{2} = 0

(p^{2} - 6)^{2} - 8 p^{2} = 0

What are the solutions to the equation x=524x^3-2x^2-70x-75 ?
The solutions to the equation x=524x^3-2x^2-70x-75 are x\approx 0.61022…
Find the zeros of x=524x^3-2x^2-70x-75
The zeros of x=524x^3-2x^2-70x-75 are x\approx 0.61022…