Question

Resolva a equação do 2° grau:
a) 9 (x+3)^2/2 = 18

Answer 1

9 . (x+3)² /2  = 18

9. (x+3).(x+3) / 2=18

9.( x²+3x+3x+9) = 36

9.(x²+6x+9)-36=0

9x²+54x+81-36=0

9x²+54x+45=0

9x²+54x+45=0 (/9)

x²+6x+5=0

x=-b+_√b²-4.a.c / 2.a

x=-6+-√6²-4.1.5 / 2.1

x=-6+-√16 / 2

x=-6+-4 / 2

x'=-6+4/2            x''=-6-4/2

x'=-1                    x''=-5