Question

rezolvati in R ecuatia
(3x-1)la puterea 2 - 4(5x+6)=9( xla puterea2 -x+1)+2

Answer 1

              
$(3x - 1)^{2}-4(5x+6)=9( x^{2} -x+1)+2 \\ \text{Este o ecuatie de gradul 2, reductibila la gradil 1} \\ 9 x^{2}-6x+1-20x -24=9 x^{2}-9x+9+2 \\ 9 x^{2}-26x -23=9 x^{2}-9x+11 \\ 9 x^{2}-9 x^{2}-26x +9x -23-11=0 \\ -17x -34=0 \;\;\;|\;*(-1) \\ 17x+34=0 \\ 17x = - 34 \\ x= \frac{-34}{17}=\boxed{-2}$