Question

22x la patrat + 10 x - 7 se descompune in ?

Answer 1

$22x^2 + 10 x - 7 \\ \\ \Delta=10^2-4\cdot22\cdot(-7) = 100+616 = 716=(2\sqrt{179})^2. \\ \\ x_{1,2} = \dfrac{-10\pm2\sqrt{179}}{44} \Rightarrow x_{1,2} = \dfrac{-5\pm\sqrt{179}}{22}\\ \\ 22\cdotx^2 + 10 x - 7= 22(x-x_1)(x-x_2) = \\ \\ \\\Rightarrow22x^2 + 10 x - 7 =22\cdot\Big(x-\dfrac{-5-\sqrt{179}}{22}\Big{)}\cdot\Big{(}x-\dfrac{-5+ \sqrt{179}}{22}\Big{)}$