Question

- 4x² - 2x + 3 = 0
Preciso saber o valor de x1 e x2 .
Obg :)

Answer 1

$-4x^2-2x+3=0~~~\times(-1) \\ \\ 4x^2+2x-3=0 \\ \\ a=4 \\ b=2 \\ c=-3 \\ \\ \Delta=b^2-4ac \\ \Delta=2^2-4(4)(-3) \\ \Delta=4+48 \\ \Delta=52 \\ \sqrt{\Delta} = \sqrt{2^2.13} =2 \sqrt{13} \\ \\ x= \frac{-b\pm \sqrt{\Delta} }{2a} =~~ \frac{-2\pm2 \sqrt{13} }{8} = \frac{~2(-1\pm \sqrt{13}) }{8} = \frac{-1\pm \sqrt{13} }{4}$  

$x'= \frac{-1+ \sqrt{13} }{4} \\ \\ x"= \frac{-1- \sqrt{13} }{4}$