Question

resolva a equação $x^{2}$ - 6x -7 = 0 e fale suas raizes

Answer 1

$x^2-6x-7=0\\\\\textrm{Coeficientes~:~a=1,~b=-6~e~c=-7}$

$\Delta=b^2-4ac\\\Delta=(-6)^2-4.1.(-7)\\\Delta=36+28\\\Delta=64$

$x=\frac{-b+/-\sqrt{\Delta}}{2a}\\x=\frac{-(-6)+/-\sqrt{64}}{2.1}\\x=\frac{6+/-8}{2}$

$x'=\frac{6+8}{2}\\x'=\frac{14}{2}\\x'=7$

$x"=\frac{6-8}{2}\\x"=\frac{-2}{2}\\x"=-1$


Espero ter ajudado.
Bons estudos!  :)