Desenvolvimento Alg�brico
[ ( 1 )x² + ( 2 )x + ( -138 ) ] = 0
a = ( 1 );
b = ( 2 );
c = ( -138 );
Calculando Δ
Δ = b² - 4.a.c
Δ = {( 2 )² - [ 4.( 1 ).( -138 ) ]}
Δ = 556
C�lculo das Ra�zes
X' = {-b + ²√Δ} / {2.a}
X' = { -2 + ²√( 556 } / { 2.( 1 )}
X' = ( 10,78982612 );
X" = {-b - ²√Δ} / {2.a}
X" = { -2 - ²√( 556 )} / { 2.( 1 )}
X" = ( -12,78982612 );
Solu��o / Resposta
S = { 10,78982612 , -12,78982612 }