Question

aratati ca ecuatile sunt echivalente x(2x+1)+(x+1)(x+2)=2(x la 2 +11) +1 si 2(x+1)la2 -(x-2)(x+2)=27

Answer 1

x(2x+1)+(x+1)(x+2)=2(x² +11) +1 
2x²+x+x²+3x+2=2x²+22+1
x²+4x-19=0

2(x+1)² -(x-2)(x+2)=27
2x²+4x+2-(x²-4)=27
2x²+4x+2-x²+4=27
x²+4x-19=0

Cele,doua,ecuatii,sunt,echivalente.