Question

Ache as raízes da equação:

A) 4x²+12x=-9
B) x²+14x=32

Answer 1

a) 4x² + 12x = -9
4x² + 12x + 9 = 0

delta= b² - 4.a.c

a= 4, b= 12, c= 9

delta= 12² - 4.4.9
delta= 144 - 144
delta= 0

x = -b ± √delta/2.a

x = -12 ± √0/2.4

x = -12 ± 0/8

x = -12/8 = -6/4

s= { -6/4 }


B) x² + 14x = 32
x² + 14x - 32

a= 1, b= 14, c= -32

delta= 14² - 4.1.(-32)
delta= 196 + 128
delta= 324

x = - 14 ± √324/2.1

x = -14 ± 18/2

x = -14 + 18/2= 4/2 = 2

x = -14 - 18/2 = -32/2 = -16

s={ 2,-16 }