Question

função quadráticas
a) f(x)=x2 -6x+8
b) y=x2 -5x+6
c) y= -x2 -4x+12
d) f(x)=-x2 +6x-9

Answer 1

a) x^2-6x+8=0
delta=b^2-4ac
delta=(-6)^2-4.1.8
delta=36-32
delta=4
x=-b-/+ raiz de delta/2a
x=-(-6)-2/2.1
x=6-2/2
x=4/2
x=2
x=-(-6)+2/2.1
x=6+2/2
x=8/2
x=4
b) x^2-5x+6=0
delta=b^2-4ac
delta=(-5)^2-4.1.6
delta=25-24
delta=1
x=-b-/+ raiz de delta/2a
x=-(-5)-1/2.1
x=5-1/2
x=4/2
x=2
x=-(-5)+1/2.1
x=5+1/2
x=6/2
x=3
c) -x^2-4x+12=0
delta=b^2-4ac
delta=(-4)^2-4.(-1).12
delta=16+48
delta=64
x=-b-/+ raiz de delta/2a
x=-(-4)-8/2.(-1)
x=4-8/-2
x=-4/-2
x=2
x=-(-4)+8/2.(-1)
x=4+8/-2
x=12/-2
x=-6
d) -x^2+6x-9=0
delta=b^2-4ac
delta=6^2-4.(-1).(-9)
delta=36-36
delta=0
x=-b-/+ raiz de delta/2a
x=-6-0/2.(-1)
x=-6/-2
x=3