Question

rezolvati va rog ecuatia si spuneti care este solutia...2xla puterea2 - 3x - 35=0

Answer 1

$\displaystyle 2x^2-3x-35=0 \\ a=2,b=-3,c=-35 \\ \Delta=b^2-4ac=3^2-4 \cdot 2 \cdot (-35)=9+280=289\ \textgreater \ 0 \\ x_1= \frac{3+ \sqrt{289} }{2 \cdot 2} = \frac{3+17}{4} = \frac{20}{4} =5 \\ \\ x_2= \frac{3- \sqrt{289} }{2 \cdot 2} = \frac{3-17}{4} = \frac{-14}{4} =- \frac{7}{2} \\ \\ S=\big{ \{- \frac{7}{2} ;5\} }$