What are the solutions to the equation x^3-10x+4=0 ?

The solutions to the equation x^3-10x+4=0 are x\approx 0.40672…,x\approx 2.93923…,x\approx-3.34596…

Find the zeros of x^3-10x+4=0

The zeros of x^3-10x+4=0 are x\approx 0.40672…,x\approx 2.93923…,x\approx-3.34596…

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x^{3} - 10 x + 4 = 0

x \approx 0.40672 \dots, x \approx 2.93923 \dots, x \approx - 3.34596 \dots

Solution steps

x^{3} - 10 x + 4 = 0

Find one solution for

x^{3} - 10 x + 4 = 0

using Newton-Raphson:

x \approx 0.40672 \dots

Apply long division:

\frac{x ^{3} - 10 x + 4}{x - 0.40672 \dots} = x^{2} + 0.40672 \dots x - 9.83457 \dots

x^{2} + 0.40672 \dots x - 9.83457 \dots \approx 0

Find one solution for

x^{2} + 0.40672 \dots x - 9.83457 \dots = 0

using Newton-Raphson:

x \approx 2.93923 \dots

Apply long division:

\frac{x ^{2} + 0.40672 \dots x - 9.83457 \dots}{x - 2.93923 \dots} = x + 3.34596 \dots

x + 3.34596 \dots \approx 0

x \approx - 3.34596 \dots

The solutions are

x \approx 0.40672 \dots, x \approx 2.93923 \dots, x \approx - 3.34596 \dots

x^{3} + x^{2} + x = - \frac{1}{3}

u^{3} - 64 = 0

r^{3} + r^{2} - 23 r - 35 = 0

12 x^{4} + 7 x^{3} + 49 x^{2} + 28 x + 4 = 0

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

What are the solutions to the equation x^3-10x+4=0 ?
The solutions to the equation x^3-10x+4=0 are x\approx 0.40672…,x\approx 2.93923…,x\approx-3.34596…
Find the zeros of x^3-10x+4=0
The zeros of x^3-10x+4=0 are x\approx 0.40672…,x\approx 2.93923…,x\approx-3.34596…