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6x^4+23x^3+3x^2-32x+12=0

6x^4+23x^3+3x^2-32x+12=0 equation

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Numerical solution:

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The solution

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   4       3      2                
6*x  + 23*x  + 3*x  - 32*x + 12 = 0
$$6 x^{4} + 23 x^{3} + 3 x^{2} - 32 x + 12 = 0$$
The graph
Rapid solution [src]
x1 = -3
$$x_{1} = -3$$
x2 = -2
$$x_{2} = -2$$
x3 = 1/2
$$x_{3} = \frac{1}{2}$$
x4 = 2/3
$$x_{4} = \frac{2}{3}$$
Sum and product of roots [src]
sum
0 - 3 - 2 + 1/2 + 2/3
$$\left(\left(\left(-3 + 0\right) - 2\right) + \frac{1}{2}\right) + \frac{2}{3}$$
=
-23/6
$$- \frac{23}{6}$$
product
1*-3*-2*1/2*2/3
$$1 \left(-3\right) \left(-2\right) \frac{1}{2} \cdot \frac{2}{3}$$
=
2
$$2$$
2
Numerical answer [src]
x1 = 0.5
x2 = -2.0
x3 = 0.666666666666667
x4 = -3.0
x4 = -3.0
The graph
6x^4+23x^3+3x^2-32x+12=0 equation