Question

considere a equação x2-x-6=0. calcular o valor dos coeficientes a,b,c dessa equação. calcular o valor de delta=b ao quadrado-4ac. determine o valor de x1. determine o valor de x2. as raízes da equação.​

Answer 1

$Os~coeficientes~da~equacao~de~2^o~grau~sao:\\\\\rightarrow~a~=~1\\\\\rightarrow~b~=~-1\\\\\rightarrow~c~=~-6\\\\\\\\\Delta~=~(-1)^2-4.1.(-6)~=~1+24~=~\boxed{25}\\\\\\\\x'~=~\dfrac{1+\sqrt{25}}{2~.~1}~=~\dfrac{1+5}{2}~=~\dfrac{6}{2}~~\rightarrow~\boxed{x'~=~3}\\\\\\\\x''~=~\dfrac{1-\sqrt{25}}{2~.~1}~=~\dfrac{1-5}{2}~=~\dfrac{-4}{2}~~\rightarrow~\boxed{x''~=\,-2}$