What are the solutions to the equation roots 6x^3+4x^2-7x+2 ?

The solutions to the equation roots 6x^3+4x^2-7x+2 are x\approx-1.55487…

Find the zeros of roots 6x^3+4x^2-7x+2

The zeros of roots 6x^3+4x^2-7x+2 are x\approx-1.55487…

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roots

6 x^{3} + 4 x^{2} - 7 x + 2

x \approx - 1.55487 \dots

Solution steps

6 x^{3} + 4 x^{2} - 7 x + 2

The roots are the intercepts with the x-axis

(y = 0)

6 x^{3} + 4 x^{2} - 7 x + 2 = 0

Find one solution for

6 x^{3} + 4 x^{2} - 7 x + 2 = 0

using Newton-Raphson:

x \approx - 1.55487 \dots

Apply long division:

\frac{6 x ^{3} + 4 x ^{2} - 7 x + 2}{x + 1.55487 \dots} = 6 x^{2} - 5.32923 \dots x + 1.28627 \dots

6 x^{2} - 5.32923 \dots x + 1.28627 \dots \approx 0

Find one solution for

6 x^{2} - 5.32923 \dots x + 1.28627 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 1.55487 \dots

r^{3} = 0

(x - 1) (x^{2} + x - 2) = 0

1 - x - x^{3}

2 x^{3} + (1 - x^{2})^{4} = 0

3 x^{3} + 4 x^{2} + 27 x + 36 = 0

What are the solutions to the equation roots 6x^3+4x^2-7x+2 ?
The solutions to the equation roots 6x^3+4x^2-7x+2 are x\approx-1.55487…
Find the zeros of roots 6x^3+4x^2-7x+2
The zeros of roots 6x^3+4x^2-7x+2 are x\approx-1.55487…