Question

4. Resolva as equações.
a) Am, 3 = 30m
b) An, 4 = 12 • An, 2​

Answer 1

Resposta:

Explicação passo a passo:

a) Am, 3 = 30m

m,(m-1)(m-2) = 30m. ==> :(m)

(m-1)(m-2) = 30

m² -3m +2 = 30

m² -3m -28 = 0

∆= 9+112= 121 ===> √∆,=11

m=6,b+√∆/2a = 3+11/2 = 7 ✓

b) An, 4 = 12 • An, 2

n(n-1)(n-2)(n-3) = 12. n(n-1). ==> n(n-1)

(n-2)(n-3) = 12

n²-5n+6 = 12

n² -5n -6 = 0

∆ = 49. => √∆=7

x= -b+√∆/2a = 5+7/2 = 6 ✓