👤

rezolvata in R ecuatia (x-1)²+(x+2)²-(x-2)(x+2)=24

Răspuns :

(x-1)²+(x+2)²-(x-2)(x+2)=24
x²-2x+1+x²+4x+4-x²+4=24
x²+2x+9=24
x²+2x+9-24=0
x²+2x-15=0
x²+5x-3x-15=0
x(x+5)-3(x+5)=0
(x-3)(x+5)=0
x-3=0⇒x=3
sau
x+5=0⇒x=-5