[tex]5x^2-10x+5=0 |:5 \\ x^2-2x+1=0 \\ \\ \boxed{\Delta=b^2-4ac} \\ \\ \boxed{\text{X}_{1,2}= \frac{-b\pm \sqrt{\Delta} }{2a} }} \\ \\ \\ \Delta=(-2)^2-4\cdot1\cdot1=4-4=0\\ \\ \text{cand delta = 0 avem 1 solutie} \\\ \text{X}_{1}= \frac{-b - \sqrt{\Delta} }{2a} = \frac{2-0}{2} = \frac{2}{2} = 1} \\ \\ --------------\\ 3x^2-5x+2=0 \\ \\ \text{formulele de sus} \\ \\ \Delta=b^2-4ac=(-5)^2-4\cdot3\cdot2=25-24=1 \\ \\ \text{X}= \frac{-b \pm\sqrt{\Delta} }{2a}= \frac{5\pm1}{6}= \\\\ X1=1 \\ \\ X2= \frac{2}{3} [/tex]
