Question

Determine as raízes da equação x2 -6x -16=0

Answer 1

$x^2 -6x -16=0\\\\ a=1;b=-6;c=-16\\\\\\ \Delta=b^2-4ac\to \Delta=(-6)^2-4*1*(-16)\to \Delta=36+64\to \Delta=100\\\\ x' \neq x''\\\\ x= \frac{-b\pm \sqrt{ \Delta} }{2a} \to x= \frac{-(-6)\pm \sqrt{100} }{2*1} \to x= \frac{6\pm 10}{2} \to \\\\\\ x'= \frac{6+10}{2} \to x'= \frac{16}{2} \to x'=8\\\\\\ x''= \frac{6- 10}{2} \to x''= \frac{-4}{2} \to x''=-2\\\\\\\\ S=\left \{ -2;8\left \}$

Answer 2

B2-4.a.c -6*-4.1.-16 36+64=100 esse é o delta ai +6+10=16/2=8 e +6-10=-4/2=-2 às raízes são {8,-2}