Question

Resolva Equaçao do tipo Ax²+bx=0

a) 3x² + 5x =0     (R: 0 e -5/3)

B) 4x² - 12x = 0   (R: 0 e 3)

c) 5x² + x = 0       (R: 0 e -1/5)

d) x² + x = 0         (R: 0 e

Answer 1

a) 3x² + 5x = 0

delta= 5²-4.3.0
delta= 25 - 0
delta= 5

x= -5 ± √25/2.3

x= -5 + 5/6= 0/6= 0

x= -5 - 5/6= -10/6 = -5/3


b) 4x² -12x = 0

delta= (-12)²-4.4.0
delta= 144 - 0
delta= 144

x= 12 ± √144/2.4

x= 12 ± 12/8

x= 12 + 12/8 = 24/8= 3

x= 12 - 12/8= 0/8= 0


c) 5x² + x = 0

delta= 1²-4.5.0
delta= 1 - 0
delta= 1

x= -1 ± √1 /2.5

x= -1 ± 1/10

x= -1 + 1/10= 0/10= 0

x= -1 - 1/10= -2/10= -1/5


d) x² + x= 0

delta= 1²-4.1.0
delta= 1 - 0
delta= 1

x= -1 ± √1 /2.4

x= -1 ± 1/8

x= -1 + 1/8= 0/8= 0

x= -1 - 1/8= -2/8= -1/4


Espero ter ajudado!