What are the solutions to the equation 171887=9477592-30x-4536x^4 ?

The solutions to the equation 171887=9477592-30x-4536x^4 are x\approx 6.73002…,x\approx-6.73009…

Find the zeros of 171887=9477592-30x-4536x^4

The zeros of 171887=9477592-30x-4536x^4 are x\approx 6.73002…,x\approx-6.73009…

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171887 = 9477592 - 30 x - 4536 x^{4}

x \approx 6.73002 \dots, x \approx - 6.73009 \dots

Solution steps

171887 = 9477592 - 30 x - 4536 x^{4}

Switch sides

9477592 - 30 x - 4536 x^{4} = 171887

Move

171887

to the left side

- 4536 x^{4} - 30 x + 9305705 = 0

Find one solution for

- 4536 x^{4} - 30 x + 9305705 = 0

using Newton-Raphson:

x \approx 6.73002 \dots

Apply long division:

\frac{- 4536 x ^{4} - 30 x + 9305705}{x - 6.73002 \dots} = - 4536 x^{3} - 30527.39519 \dots x^{2} - 205450.14494 \dots x - 1382714.69309 \dots

- 4536 x^{3} - 30527.39519 \dots x^{2} - 205450.14494 \dots x - 1382714.69309 \dots \approx 0

Find one solution for

- 4536 x^{3} - 30527.39519 \dots x^{2} - 205450.14494 \dots x - 1382714.69309 \dots = 0

using Newton-Raphson:

x \approx - 6.73009 \dots

Apply long division:

\frac{- 4536 x ^{3} - 30527.39519 \dots x ^{2} - 205450.14494 \dots x - 1382714.69309 \dots}{x + 6.73009 \dots} = - 4536 x^{2} + 0.33117 \dots x - 205452.37376 \dots

- 4536 x^{2} + 0.33117 \dots x - 205452.37376 \dots \approx 0

Find one solution for

- 4536 x^{2} + 0.33117 \dots x - 205452.37376 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solutions are

x \approx 6.73002 \dots, x \approx - 6.73009 \dots

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

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}

What are the solutions to the equation 171887=9477592-30x-4536x^4 ?
The solutions to the equation 171887=9477592-30x-4536x^4 are x\approx 6.73002…,x\approx-6.73009…
Find the zeros of 171887=9477592-30x-4536x^4
The zeros of 171887=9477592-30x-4536x^4 are x\approx 6.73002…,x\approx-6.73009…