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

y^{3} = 5

x^{4} - 18 x^{2} - x + 78 = 0

x^{3} - 4 x^{2} - 9 x + 12 = 0

x^{3} + 5 x^{2} - 16 x - 80 = 0

6 x^{8} + 6 = 13 x^{4}

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…