Question

equação do 2° grau
a) 2X² + 6X = 0
b) 5X² - 3x = 0

Answer 1

a) Delta: b² - 4.a.c: 36 -0 = 36
X = -B +ou- SQRT (delta)  / 2.A. : x1= -6 + 6 / 4 = 0. X2= -6 -6 /4 = -3

b:Delta =  9- 0 = 9
X1= 3 + 3 /10 = 3/5
X2= 3 -3/10 = 0

Answer 2

a) 2x² + 6x = 0
a = 2 , b = 6, c = 0
Δ = b² - 4ac
Δ = 6² - 4.2.0
Δ = 36 - 0
Δ = 36

X = - 6 +- √36 / 2.2
X = - 6 + - 6 / 4
X' = - 6 + 6/4 = 0/4 = 0
X'' = - 6 - 6 / 4 = -12/4 = -3

b) 5x² - 3x = 0
a = 5, b= - 3, c = 0
Δ = b² - 4ac
Δ = - 3²  - 4.5.0
Δ = 9 - 0
Δ = 9

X = -b + - √Δ / 2a
X = - (-3) + - √9/ 2.5
X = 3 + - 3/ 10
X' = 3+3/10 = 6/10 (podemos dividir por 2) = 3/5
X'' = 3 - 3/10 = 0/10 = 0

Qualquer dúvida ;)