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Bonjour une question me bloque à mon exercice: Vérifier que C(x)=3(x-1)^2+13 Sachant que C(x)=(2x-5)^2-x^2+14x-9

Sagot :

3(x-1)²+13

=3(x²-2x+1)+13

=3x²-6x+3+13

=3x²-6x+16

 

C(x)=(2x-5)²-x²+14x-9

       =4x²-20x+25-x²+14x-9

       =3x²-6x+16

 

donc C(x)=3(x-1)²+13