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Determinati xER pentru care:
(3×+4)^2=(2×+1)^2=

^ Inseamana la puterea....


Răspuns :

[tex](3x+4)^{2} =(2x+1)^{2} [/tex]
[tex](3x+4)^{2}- (2x+1)^{2} =0[/tex]
[tex](3x+4+2x+1)(3x+4-2x-1)=0[/tex]
[tex](5x+5)(x+3)=0[/tex]
[tex](x+1)(x+3)=0[/tex]
Deci x+1=0 => x =-1
sau x+3=0 => x=-3
Deci x∈{-3,-1}