What are the solutions to the equation x^4-32x+10=0 ?

The solutions to the equation x^4-32x+10=0 are x\approx 0.31279…,x\approx 3.06293…

Find the zeros of x^4-32x+10=0

The zeros of x^4-32x+10=0 are x\approx 0.31279…,x\approx 3.06293…

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x^{4} - 32 x + 10 = 0

x \approx 0.31279 \dots, x \approx 3.06293 \dots

Solution steps

x^{4} - 32 x + 10 = 0

Find one solution for

x^{4} - 32 x + 10 = 0

using Newton-Raphson:

x \approx 0.31279 \dots

Apply long division:

\frac{x ^{4} - 32 x + 10}{x - 0.31279 \dots} = x^{3} + 0.31279 \dots x^{2} + 0.09784 \dots x - 31.96939 \dots

x^{3} + 0.31279 \dots x^{2} + 0.09784 \dots x - 31.96939 \dots \approx 0

Find one solution for

x^{3} + 0.31279 \dots x^{2} + 0.09784 \dots x - 31.96939 \dots = 0

using Newton-Raphson:

x \approx 3.06293 \dots

Apply long division:

\frac{x ^{3} + 0.31279 \dots x ^{2} + 0.09784 \dots x - 31.96939 \dots}{x - 3.06293 \dots} = x^{2} + 3.37573 \dots x + 10.43750 \dots

x^{2} + 3.37573 \dots x + 10.43750 \dots \approx 0

Find one solution for

x^{2} + 3.37573 \dots x + 10.43750 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solutions are

x \approx 0.31279 \dots, x \approx 3.06293 \dots

3 x^{3} + 7 x^{2} + 17 x + 5 = 0

3 x^{3} + 6 x - 21 x^{2} - 42 = 0

\frac{x ^{8} + 1}{( 2 c ^{4} )} = 98

7 a^{3} + 41 - a^{3} = - 52

1 - 3 \cdot (x + 4)^{3} = 25

What are the solutions to the equation x^4-32x+10=0 ?
The solutions to the equation x^4-32x+10=0 are x\approx 0.31279…,x\approx 3.06293…
Find the zeros of x^4-32x+10=0
The zeros of x^4-32x+10=0 are x\approx 0.31279…,x\approx 3.06293…