Question

De acordo com a função f(x)= -3x² -x + 8, determine os valores de m e p de maneira que: f(m)= -2 e f(p)= 4

Answer 1

f(x)=-3x^2-x+8

f(m)=-3m^2-m+8

-3m^2-m+8=-2

-3m^2-m+10=0

3m^2+m-10=0

Δ=1+120

Δ=121

m=-1+/-√121/6

m'=-1+11/6
m'=10/6
m'=5/3

m"=-1-11/6

m"=-12/6=-2

f(p)=-3p^2-p+8

-3p^2-p+8=4

-3p^2-p+4=0

3p^2+p-4=0

Δ=1+48

Δ=49

p=-1+/-√49/6

p'=-1+7/6

p'=6/6
p'=1

p"=-1-7/6

p"=-8/6

p"=-4/3