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rezolvati in R ecuatiea:(x-3)(x+4)-2(3x-2)egal(x-4)totula la patrat. b)(x+5)(x+2)-3(4x-3)egal(x-5)la patrat


Răspuns :

(x-3)(x+4)-2(3x-2)=(x-4)²
x²+4x-3x-12-6x+4=x²-8x+16
x²-5x-8=x²-8x+16
x²-5x-x²+8x=16+8
3x=24
x=24:3
x=8

b)(x+5)(x+2)-3(4x-3)=(x-5)²
x²+2x+5x+10-12x+9=x²-10x+25
x²-5x+19=x²-10x+25
x²-5x-x²+10x=25-19
5x=6
x=6:5
x=1,2