Question

fie x1 si x2 solutiile ecuatiei 2x pa puterea a 2 +3x-7=0

Answer 1

${2x}^{2} + 3x - 7 = 0$

$a = 2$

$b = 3$

$c = - 7$

$\Delta = {b}^{2} - 4ac$

$\Delta = {3}^{2} - 4 \times 2 \times ( - 7)$

$\Delta = 9 + 56$

$\Delta = 65$

$x_{1,2}=\frac{-b\:\pm\: \sqrt{\Delta} }{2a}$

$x_{1,2}=\frac{-3\:\pm\:\sqrt{65}}{2\times2}$

$x_{1,2}=\frac{-3\:\pm\:\sqrt{65}}{4}$

$x_{1}=\frac{-3 + \sqrt{65}}{4}$

$x_{2}=\frac{-3 - \sqrt{65}}{4}$