Question

determinați soluția ecuației:(x+1)²+(2x+3)²=(2x-4)²+(x-6)²​

Answer 1

(x+1)²+(2x+3)²=(2x-4)²+(x-6)²

2x+1+12x+9=-16x+16-12x+36

14x+10=-28x+52

14x+10+28x-52=0

42x-42=0

x-1=0

x=1

Verific:

(1+1)²+(2×1+3)²=(2×1-4)²+(1-6)²

2²+(2+3)²=(2-4)²+(-5)²

4+5²=(-2)²+25

4+25=4+25 ✔