Question

A) F(x)= -x²+7x-6

B) F(x)= 3x²+x-4

Answer 1

A) -x^2+7x-6

a= -1
b= 7
c= -6

∆= b^2 -4ac
∆= 7^2 -4.(-1).(-6)
∆= 49-24
∆= 25

x= -b+-√∆
2a
x= -(7)+-√25
2.(-1)
x= -7+-5
-2

x'= -7+5= -2/-2= 1
x''= -7-5= -12/-2= 6

As raízes são 1 e 6.

B) 3x^2 +x -4

a= 3
b= 1
C= -4

∆= b^2 -4ac
∆= 1^2 -4.3.(-4)
∆= 1+48
∆= 48

x= -b+-√∆
2a
x= -(1)+-√49
2.3
x= -1+-7
6

x'= -1+7= 6/6= 1
x''= -1-7= -8/6= 1,333...

A raiz é 1