Desenvolvimento Alg�brico
[ ( 1 )x² + ( 2 )x + ( -167 ) ] = 0
a = ( 1 );
b = ( 2 );
c = ( -167 );
Calculando Δ
Δ = b² - 4.a.c
Δ = {( 2 )² - [ 4.( 1 ).( -167 ) ]}
Δ = 672
C�lculo das Ra�zes
X' = {-b + ²√Δ} / {2.a}
X' = { -2 + ²√( 672 } / { 2.( 1 )}
X' = ( 11,9614814 );
X" = {-b - ²√Δ} / {2.a}
X" = { -2 - ²√( 672 )} / { 2.( 1 )}
X" = ( -13,9614814 );
Solu��o / Resposta
S = { 11,9614814 , -13,9614814 }