Question

dada as funções
F(x)=-2x²+8x-6
F(x)=10x+2x²
F(x)=3x²+6x-9
F(x)=3x²-27

determine as raízes ou zeros se existem

Ponto de máximo ou mínimo

esboçar o gráfico

Answer 1

F(x)=2x^2+8x-6(÷2)
F(x)=x^2+4x-3
a=1 b=4 c=-3
delta=b^2-4ac
delta=(4)^2;4(1)(-4)
delta=16-4(-4)
delta=16+16
delta=32
x=-b+,-\/delta/2a
x=-(4)+,-\/32/2(1)
x=-4+,-5.65/2
x1=-4+5,65/2》x1=1,65/2》x1=0,825》
x1=0,83
x2=-4-5,65/2》x2=-9,65/2》x2=-4,825》
x2=-4,83

b)F(x)=10+2x^2=0
2x(x+5)=0
2x1=0》x1=0/2》x1=0
x2+5=0》x2=-5

c)F(x)=3x^2+6x-9(÷3)
x^2+2x-3
(x+3)(x-1)=0
x1+3=0》x1=-3
x2-1=0》x2=1

d)F(x)=3x^2-27
x^2=27/3
x^2=9
x=+,-\/9
x=+,- 3