Question

f(x) = x² + 5x + 6

Função quadratica

Answer 1

Resposta: X'= -5-1/2 -> X'= -3 e X"= -5+1/2 -> X"= -2

Explicação passo a passo:

Equação do segundo grau

-b +- $\sqrt{b²-4ac}$ / 2a

Answer 2

Resposta:

f(x) = x² + 5x + 6

x² + 5x + 6 = 0

coeficientes

a = 1

b = 5

c = 6

Δ = b² -4ac

Δ = 5² -4(1)(6)

Δ = 25 - 24

Δ = 1

$x=\dfrac{-b\pm\sqrt{\Delta} }{2a}\\ \\ \\ x=\dfrac{-5\pm\sqrt{1} }{2.(1)}=\dfrac{-5\pm1}{2}\\ \\ \\ x'=\dfrac{-5+1}{2}=-\dfrac{4}{2}=-2\\ \\ \\ x"=\dfrac{-5-1}{2}=-\dfrac{6}{2}=-3\\ \\ \\ S=\{-3,-2\}$