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2*x^4-15*x^3+35*x^2-30x+8=0

2*x^4-15*x^3+35*x^2-30x+8=0 equation

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Numerical solution:

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The solution

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   4       3       2               
2*x  - 15*x  + 35*x  - 30*x + 8 = 0
$$2 x^{4} - 15 x^{3} + 35 x^{2} - 30 x + 8 = 0$$
The graph
Rapid solution [src]
x1 = 1/2
$$x_{1} = \frac{1}{2}$$
x2 = 1
$$x_{2} = 1$$
x3 = 2
$$x_{3} = 2$$
x4 = 4
$$x_{4} = 4$$
Sum and product of roots [src]
sum
0 + 1/2 + 1 + 2 + 4
$$\left(\left(\left(0 + \frac{1}{2}\right) + 1\right) + 2\right) + 4$$
=
15/2
$$\frac{15}{2}$$
product
1*1/2*1*2*4
$$1 \cdot \frac{1}{2} \cdot 1 \cdot 2 \cdot 4$$
=
4
$$4$$
4
Numerical answer [src]
x1 = 1.0
x2 = 2.0
x3 = 4.0
x4 = 0.5
x4 = 0.5
The graph
2*x^4-15*x^3+35*x^2-30x+8=0 equation