Question

2Z elevado 2 - 5z - 3 = 0

Answer 1

2z² - 5z - 3 = 0


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Δ = b²−4ac
Δ =(−5)²−4⋅(2)⋅(−3)
Δ = 25 + 24
Δ = 49


$z = \dfrac{-b \pm \sqrt{\Delta}}{2*a}\\ \\ \\ z = \dfrac{-(-5) \pm \sqrt{49}}{2*2}\\ \\ \\ z = \dfrac{5 \pm 7}{4}\\ \\ \\ z' = \dfrac{5 + 7}{4}\\ \\ \\ z' = \dfrac{12}{4}\\ \\ \\ z' = 3\\ \\ \\ \\ z' = \dfrac{5 - 7}{4}\\ \\ \\ z' = \dfrac{-2}{4}\\ \\ \\ z' = \dfrac{-1}{2}$


S = {3 , -1/2}

Answer 2

Olá!!!!

Resoluçao!!!

2z² - 5z - 3 = 0

a = 2, b = - 5, c = - 3

∆ = b² - 4ac
∆ = ( - 5 )² - 4 • 2 • ( - 3 )
∆ = 25 + 24
∆ = 49

z = - b ± √∆ / 2a
z = - ( - 5 ) ± √49 / 2 • 2
z = 5 ± 7 / 4
z' = 5 + 7 / 4 = 12/4 = 3
z" = 5 - 7 / 4 = - 2/4 : 2 = - 1/2

S = { - 1/2 , 3 }

Espero ter ajudado!!