Question

Resolva as raízes das equações A)x² + 2x - 35 + 0 b) x² + 12x + 36 =0 c) m² - 10m + 25 =0 d) y² + 10y +16 =0 e) a² - a - 12 = 0

Answer 1

a)∆=2²-4•1•(-35)
∆=4+140=√144
x=-2±12/2
x=-1±6

b)∆=12²-4•1•36
∆=144-144=0

x=-12±0/2
x=-6

c)∆=-10²-4•1•25
∆=100-100=0
x=10±0/2
X=5


d)∆=10²-4•1•16
∆=100-64
∆=√36

x=-10±√36/2
X=-10±6/2
x=-5±3

x'=-5+3=-2
x"=-5-3=-8

e)∆=-1²-4•1•(-12)
∆=1+48=√49

x=1±√49/2
x=1±7/2

x'=1+7/2=8/2=4
x"=1-7/2=-6/2=-3