What are the solutions to the equation 4x^3-20x-7=0 ?

The solutions to the equation 4x^3-20x-7=0 are x\approx-0.35927…,x\approx-2.03467…,x\approx 2.39395…

Find the zeros of 4x^3-20x-7=0

The zeros of 4x^3-20x-7=0 are x\approx-0.35927…,x\approx-2.03467…,x\approx 2.39395…

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4 x^{3} - 20 x - 7 = 0

x \approx - 0.35927 \dots, x \approx - 2.03467 \dots, x \approx 2.39395 \dots

Solution steps

4 x^{3} - 20 x - 7 = 0

Find one solution for

4 x^{3} - 20 x - 7 = 0

using Newton-Raphson:

x \approx - 0.35927 \dots

Apply long division:

\frac{4 x ^{3} - 20 x - 7}{x + 0.35927 \dots} = 4 x^{2} - 1.43709 \dots x - 19.48368 \dots

4 x^{2} - 1.43709 \dots x - 19.48368 \dots \approx 0

Find one solution for

4 x^{2} - 1.43709 \dots x - 19.48368 \dots = 0

using Newton-Raphson:

x \approx - 2.03467 \dots

Apply long division:

\frac{4 x ^{2} - 1.43709 \dots x - 19.48368 \dots}{x + 2.03467 \dots} = 4 x - 9.57581 \dots

4 x - 9.57581 \dots \approx 0

x \approx 2.39395 \dots

The solutions are

x \approx - 0.35927 \dots, x \approx - 2.03467 \dots, x \approx 2.39395 \dots

s^{3} + 82 s^{2} + 304 s + 11520 = 0

2 x^{3} + 14 x^{2} - 14 x - 98 = 0

5 x^{4} = - 10 i

2 x^{3} + 16 = 0

x^{3} - 8 x^{2} - 9 x + 72 = 0

What are the solutions to the equation 4x^3-20x-7=0 ?
The solutions to the equation 4x^3-20x-7=0 are x\approx-0.35927…,x\approx-2.03467…,x\approx 2.39395…
Find the zeros of 4x^3-20x-7=0
The zeros of 4x^3-20x-7=0 are x\approx-0.35927…,x\approx-2.03467…,x\approx 2.39395…