What are the solutions to the equation 6x^3+6x^2-7x+2=0 ?

The solutions to the equation 6x^3+6x^2-7x+2=0 are x\approx-1.76700…

Find the zeros of 6x^3+6x^2-7x+2=0

The zeros of 6x^3+6x^2-7x+2=0 are x\approx-1.76700…

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6 x^{3} + 6 x^{2} - 7 x + 2 = 0

x \approx - 1.76700 \dots

Solution steps

6 x^{3} + 6 x^{2} - 7 x + 2 = 0

Find one solution for

6 x^{3} + 6 x^{2} - 7 x + 2 = 0

using Newton-Raphson:

x \approx - 1.76700 \dots

Apply long division:

\frac{6 x ^{3} + 6 x ^{2} - 7 x + 2}{x + 1.76700 \dots} = 6 x^{2} - 4.60204 \dots x + 1.13185 \dots

6 x^{2} - 4.60204 \dots x + 1.13185 \dots \approx 0

Find one solution for

6 x^{2} - 4.60204 \dots x + 1.13185 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 1.76700 \dots

(x - 2) (x + 8) (x - 1) = 0

r^{5} + 2 r^{3} + 10 r^{2} + r + 10 = 0

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

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

0.11 = (1 + \frac{r}{12})^{12} - 1

What are the solutions to the equation 6x^3+6x^2-7x+2=0 ?
The solutions to the equation 6x^3+6x^2-7x+2=0 are x\approx-1.76700…
Find the zeros of 6x^3+6x^2-7x+2=0
The zeros of 6x^3+6x^2-7x+2=0 are x\approx-1.76700…