Rozwiąż równania:

[Kamil92x]

A)
\(\displaystyle{ 5x^{5}+4x^{4}-5x-4=0}\)
\(\displaystyle{ x^{4}(5x+4)-(5x+5)=0}\)
\(\displaystyle{ (x^{4}-1)(5x+4)=0}\)
\(\displaystyle{ (x^{2}+1)(x^{2}-1)(5x+4)=0}\)
dobrze?

B)
\(\displaystyle{ 3x^{5}-2x^{4}+3x-2=0}\)

[Lbubsazob]

a) \(\displaystyle{ 5x^5+4x^4-5x-4=5x \left(x^4-1 \right)+4 \left( x^4-1\right)= \left(5x+4 \right) \left(x^4-1 \right)= \left( 5x+4\right) \left(x^2-1 \right) \left(x^2+1 \right)}\)
b) \(\displaystyle{ 3x^5-2x^4+3x-2=x^4 \left(3x-2 \right)+1 \left( 3x-2\right)= \left(x^4+1 \right) \left( 3x-2\right)}\)