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Rezolvati in Q ecuatia : (x-3)totul la patrat -2(x-4)(x+4)=1-(x-5)(x+4)

Răspuns :

x^2-2*3*x+9-2(x^2+4x-4x-16)=1-(x^2+4x-5x-20)
x^2-6x+9-2(x^2-16)=1-(x^2-x-20)
x^2-6x+9-2x^2+32=1-x^2+20
-x^2-6x+41=-x^2+21
-x^2+x^2-6x+41-21=0
-6x+20=0
-6x=-20 /*(-1)
6x=20
x=4
x la patrat-6x+9-2(x la patrat+4x-4x-16)=1-x la patrat -4x+5x+20 X la patrat-6x+9-2x la patrat-8x+8x+32=1-x la patrat-4x+5x+20 X la patrat -6x-2x la patrat-8x+8x+x la patrat+4x-5x=1+20-9-32 4x=-20 X=5 S={5}