What are the solutions to the equation 4x^3-10x^2+6x-1=10 ?

The solutions to the equation 4x^3-10x^2+6x-1=10 are x\approx 2.35839…

Find the zeros of 4x^3-10x^2+6x-1=10

The zeros of 4x^3-10x^2+6x-1=10 are x\approx 2.35839…

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4 x^{3} - 10 x^{2} + 6 x - 1 = 10

x \approx 2.35839 \dots

Solution steps

4 x^{3} - 10 x^{2} + 6 x - 1 = 10

Move

10

to the left side

4 x^{3} - 10 x^{2} + 6 x - 11 = 0

Find one solution for

4 x^{3} - 10 x^{2} + 6 x - 11 = 0

using Newton-Raphson:

x \approx 2.35839 \dots

Apply long division:

\frac{4 x ^{3} - 10 x ^{2} + 6 x - 11}{x - 2.35839 \dots} = 4 x^{2} - 0.56640 \dots x + 4.66418 \dots

4 x^{2} - 0.56640 \dots x + 4.66418 \dots \approx 0

Find one solution for

4 x^{2} - 0.56640 \dots x + 4.66418 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 2.35839 \dots

x^{3} - x + 7 = 0

- 2 (9 x + 4) (x^{2} + 25) = 0

2 = (1 + x)^{6}

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

x^{6} - x - 1 = 0

What are the solutions to the equation 4x^3-10x^2+6x-1=10 ?
The solutions to the equation 4x^3-10x^2+6x-1=10 are x\approx 2.35839…
Find the zeros of 4x^3-10x^2+6x-1=10
The zeros of 4x^3-10x^2+6x-1=10 are x\approx 2.35839…