Question

C) 2n²+7n+6:0
D) 3x²+8x-3:0
Utilizar a forna forma completar quadrado

Answer 1

\left[m _{1},x _{1}\right] = \left[ -2, -3\right][m​1​​,x​1​​]=[−2,−3]


\left[m _{2},x _{2}\right] = \left[ -2, \frac{1}{3}\right][m​2​​,x​2​​]=[−2,​3​​1​​]

[m​3​​,x​3​​]=[​2​​−3​​,−3]

m​4​​,x​4​​]=[​2​​−3​​,​3​​1​​]

Answer 2

Utilizando a fórmula de Báskara:

c) 2n² + 7n + 6 = 0

∆ = b² - 4. a . c
∆ = 7² - 4 . 2 . 6
∆ = 49 - 48
∆ = 1

n = -b ± √∆ / 2 . a
n = -7 ± √1 / 2 . 2
n = -7 ± 1 / 4

n' = -7 + 1 / 4
n' = -6 / 4
${n}^{ 1 } = - \frac{6}{4}$

n" = -7 - 1 / 4
n" = -8 / 4
n" = -2

d) 3x² + 8x - 3 = 0

∆ = b² - 4 . a . c
∆ = 8² - 4 . 3 . (-3)
∆ = 64 + 36
∆ = 100

x = -b ± √∆ / 2 . a
x = -8 ± √100 / 2 . 3
x = -8 ± 10 / 6

x' = -8 + 10 / 6
x' = 2 / 6
${x}^{1} = \frac{2}{6}$

x" = -8 - 10 / 6
x" = -18 / 6
x" = -3

Espero ter ajudado!