Question

×2 -6 × -16 =0

0fv e 2 ao quadrado

Answer 1

x² - 6x - 16 = 0

$\displaystyle \mathsf{\Delta = b^2 -4.a.c}\\ \displaystyle \mathsf{\Delta = (-6)^2- 4.(1).(-16)}\\ \displaystyle \mathsf{\Delta = 36 + 64 }\\ \displaystyle \mathsf{\Delta = 100 }$

$\displaystyle \mathsf{x = \frac{-b \: \pm \: \sqrt{\Delta}}{2a}}\\ \\ \displaystyle \mathsf{x = \frac{6 \: \pm \: 10}{2}}\\ \\ \displaystyle \mathsf{x' = 8}\\ \\ \displaystyle \mathsf{x'' = -2}$

Resposta: x = -2 ou x = 8

Answer 2

×2 -6 × -16 =0

0fv e 2 ao quadrado

A = 1
B = -6
C = -16





Encontar primeiro o valor de Delta


∆ = (-6)² -4 * 1 * (-16)
∆ = 36 + (-4) * (-16)
∆ = 36 + 64
∆ = 100


Valor de X1


X1 = -(-6) - √100 /(2*1)
X1 = 6 + √100/2
X1 = 6 + 10/2
X1 = 16/2
X1 = 8


Valor de X2

X2 = -(-6) - √100/(2*1)
X2 = 6 - √100/2
X2 = 6 - 10/2
X2 = -4/2
X2 = -2


RESPOSTA :

X' = 8
X'' = -2