Question

1- Resolva as seguintes equações completas do segundo grau.

a) x² - 8x + 12 = 0 b) x² + 2x – 8 = 0














c) – x² + 6x – 5 = 0

d) x² + 3x – 40 = 0









e) 3x² – x – 2 = 0
f) 2 x² + 7x + 5 = 0

Answer 1

Explicação passo-a-passo:

a)√∆= (-8)^2-4*(1)*(12)=√16=4

y'=-8+4/-2=-4/-2=2

y"=-8-4/-2=-12/-2=6

b)√∆=2^2-4(1)(-8)=√36=6

y'=-2+6/2=4/2=2

y"=-2-6/2=-8/2=-4

c)√∆=6^2-4(-1)(-5)=4

y'=-6+4/-2=-2/-2=1

y"=-6-4/-2=-10/-2=5

d)√∆=3^2-4(1)(-40)=13

y'=-3+13/2=10/2=5

y"=-3-13/2=-16/2=-8

e)√∆=(-1)^2-4*3*(-2)=5

y'=1+5/6=6/6=1

y"=1-5/6=-4/6=-2/3

f)√∆=7^2-4*2*5=3

y'=_7+3/4=-4/4=-1

y"=-7-3/4=-10/4=-5/2