What are the solutions to the equation x^3-7x+2=0 ?

The solutions to the equation x^3-7x+2=0 are x\approx 0.28916…,x\approx 2.48928…,x\approx-2.77845…

Find the zeros of x^3-7x+2=0

The zeros of x^3-7x+2=0 are x\approx 0.28916…,x\approx 2.48928…,x\approx-2.77845…

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x^{3} - 7 x + 2 = 0

x \approx 0.28916 \dots, x \approx 2.48928 \dots, x \approx - 2.77845 \dots

Solution steps

x^{3} - 7 x + 2 = 0

Find one solution for

x^{3} - 7 x + 2 = 0

using Newton-Raphson:

x \approx 0.28916 \dots

Apply long division:

\frac{x ^{3} - 7 x + 2}{x - 0.28916 \dots} = x^{2} + 0.28916 \dots x - 6.91638 \dots

x^{2} + 0.28916 \dots x - 6.91638 \dots \approx 0

Find one solution for

x^{2} + 0.28916 \dots x - 6.91638 \dots = 0

using Newton-Raphson:

x \approx 2.48928 \dots

Apply long division:

\frac{x ^{2} + 0.28916 \dots x - 6.91638 \dots}{x - 2.48928 \dots} = x + 2.77845 \dots

x + 2.77845 \dots \approx 0

x \approx - 2.77845 \dots

The solutions are

x \approx 0.28916 \dots, x \approx 2.48928 \dots, x \approx - 2.77845 \dots

3 x^{4} - 7 x^{3} - 9 x^{2} + 24 x - 4

2 x^{3} - 8 x^{2} + x - 4 = 0

4 x^{3} - 12 x^{2}

x^{6} - x^{3} + x^{2} = 0

3 x^{3} + 5 x^{2} + 75 x + 125 = 0

What are the solutions to the equation x^3-7x+2=0 ?
The solutions to the equation x^3-7x+2=0 are x\approx 0.28916…,x\approx 2.48928…,x\approx-2.77845…
Find the zeros of x^3-7x+2=0
The zeros of x^3-7x+2=0 are x\approx 0.28916…,x\approx 2.48928…,x\approx-2.77845…