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AURORKA [14]
3 years ago
14

Can someone. help me solve this pls .

Mathematics
1 answer:
olchik [2.2K]3 years ago
7 0

Answer:

1.108

729 =  {n}^{6} \\  \sqrt[6]{729}  =   \sqrt[6]{ {n}^{6} }  \\ n = 1.108

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What is the completely factored form of f(x)=x3+5x2+4x−6?
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f(x)=x^3+5x^2+4x-6
f(-3)=(-3)^3+5(-3)^2+4(-3)-6=0\implies x+3\text{ is a factor of }f(x)

Synthetic division yields

-3  |  1   5   4   -6
.    |      -3  -6    6
- - - - - - - - - - - - -
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which translates to

\dfrac{x^3+5x^2+4x-6}{x+3}=x^2+2x-2

with remainder 0. Now by the quadratic formula,

x^2+2x-2=0\implies x=\dfrac{-2\pm\sqrt{2^2-4(1)(-2)}}2=-1\pm\sqrt3

and so

f(x)=x^3+5x^2+4x-6=(x+3)(x-(-1+\sqrt3))(x-(-1-\sqrt3))
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Step-by-step explanation:

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