Question

- Determine a raiz da seguinte função: 5x ² + 3x -2 = 0 ​

Answer 1

As raízes dessa função são $\frac{2}{5}$ e 1.

$5x^2+3x+2=0$

$\frac{-3\pm\sqrt{\Delta} }{2\times5}$

$\Delta=3^2-4\times5\times(-2)\\\Delta=9+40\\\Delta=49$

$\frac{-3\pm\sqrt{49} }{2\times5}\\\frac{-3\pm7 }{10}\\x=\frac{-3+7 }{10}=\frac{4 }{10}=\frac{2}{5}\\x'=\frac{-3-7 }{10}=\frac{-10 }{10}=1$