What are the solutions to the equation x^3-9x-7=0 ?

The solutions to the equation x^3-9x-7=0 are x\approx-0.84475…,x\approx-2.48705…,x\approx 3.33181…

Find the zeros of x^3-9x-7=0

The zeros of x^3-9x-7=0 are x\approx-0.84475…,x\approx-2.48705…,x\approx 3.33181…

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x^{3} - 9 x - 7 = 0

x \approx - 0.84475 \dots, x \approx - 2.48705 \dots, x \approx 3.33181 \dots

Solution steps

x^{3} - 9 x - 7 = 0

Find one solution for

x^{3} - 9 x - 7 = 0

using Newton-Raphson:

x \approx - 0.84475 \dots

Apply long division:

\frac{x ^{3} - 9 x - 7}{x + 0.84475 \dots} = x^{2} - 0.84475 \dots x - 8.28638 \dots

x^{2} - 0.84475 \dots x - 8.28638 \dots \approx 0

Find one solution for

x^{2} - 0.84475 \dots x - 8.28638 \dots = 0

using Newton-Raphson:

x \approx - 2.48705 \dots

Apply long division:

\frac{x ^{2} - 0.84475 \dots x - 8.28638 \dots}{x + 2.48705 \dots} = x - 3.33181 \dots

x - 3.33181 \dots \approx 0

x \approx 3.33181 \dots

The solutions are

x \approx - 0.84475 \dots, x \approx - 2.48705 \dots, x \approx 3.33181 \dots

8 x^{6} - 9 x^{3} + 1 = 0

4 x^{4} = 16 x^{2} - 16

x^{8} + 24 x^{4} = 25

6 x^{5} + 19 x^{4} + x^{3} - 6 x^{2} = 0

(1 + x)^{9} = 2

What are the solutions to the equation x^3-9x-7=0 ?
The solutions to the equation x^3-9x-7=0 are x\approx-0.84475…,x\approx-2.48705…,x\approx 3.33181…
Find the zeros of x^3-9x-7=0
The zeros of x^3-9x-7=0 are x\approx-0.84475…,x\approx-2.48705…,x\approx 3.33181…