Question

rezolvati in R ecuatia : radical din expresia 2x + 3 totul la patrat = 5

Answer 1

radicalul si patratul se reduc, iar expresia de sub radical iese cu modul
|2x+3|=5
exista 2 cazuri:
1) 2x+3=5
2x=2
x=1
2) 2x+3=-5
2x=-8
x=-4

Answer 2

$\displaystyle \sqrt{(2x+3)^2} =5 \\ |2x+3|=5 \\ 2x+3=5 \\ 2x=5-3 \\ 2x=2 \\ x= \frac{2}{2} \\ x=1 \\ 2x+3=-5 \\ 2x=-5-3 \\ 2x=-8 \\ x=- \frac{8}{2} \\ x=-4 \\ S=\{-4;1\}$