Respostas
Resposta:
a) x²+7x+12=0
∆= 7²-4.1.12
∆= 49-48
∆=1
x= -7+-√1
-----------
2.1
x= -7+-1
--------
2
x'= -7+1
-------
x'= 6
----
2
x'= 3
x" = -7-1
------
2
x"= -8
----
2
x"= -4
S={ 3,-4}
b)x²- 6x + 8= 0
∆= 6²-4.1.8
∆= 36-32
∆=4
x=6+-√4
---------
2
x'= 6+2
------. x'= 8. x'= 4
2. ----
2
x"= 6-2. x"= 4. x"=2
------. -----
2. 2
S={ 4,2}
c)-x²+x+6=0
∆= 1²-4.(-1).6
∆= 1+24
∆=25
x= -1+-√25
------------
2.(-1)
x= -1+-5
---------
-2
x'= -1+5
------
-2
x'= 4
---
-2
x'= -2
x"= -1-5
-------
-2
x"= -6
-----
-2
x"= 3
S={-2,3}