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

The solutions to the equation x^3-7x-3=0 are x\approx-0.44080…,x\approx-2.39766…,x\approx 2.83846…

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

The zeros of x^3-7x-3=0 are x\approx-0.44080…,x\approx-2.39766…,x\approx 2.83846…

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

x \approx - 0.44080 \dots, x \approx - 2.39766 \dots, x \approx 2.83846 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx - 0.44080 \dots

Apply long division:

\frac{x ^{3} - 7 x - 3}{x + 0.44080 \dots} = x^{2} - 0.44080 \dots x - 6.80568 \dots

x^{2} - 0.44080 \dots x - 6.80568 \dots \approx 0

Find one solution for

x^{2} - 0.44080 \dots x - 6.80568 \dots = 0

using Newton-Raphson:

x \approx - 2.39766 \dots

Apply long division:

\frac{x ^{2} - 0.44080 \dots x - 6.80568 \dots}{x + 2.39766 \dots} = x - 2.83846 \dots

x - 2.83846 \dots \approx 0

x \approx 2.83846 \dots

The solutions are

x \approx - 0.44080 \dots, x \approx - 2.39766 \dots, x \approx 2.83846 \dots

a, y = 9 a^{4} - a^{2} b^{2}

r, f = - 1 r^{8}

1 - 4 x^{2} - 4 x^{4} = 0

8 = x^{5}

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

What are the solutions to the equation x^3-7x-3=0 ?
The solutions to the equation x^3-7x-3=0 are x\approx-0.44080…,x\approx-2.39766…,x\approx 2.83846…
Find the zeros of x^3-7x-3=0
The zeros of x^3-7x-3=0 are x\approx-0.44080…,x\approx-2.39766…,x\approx 2.83846…