Question

resolver (2n+3).(2n-3) = n/2 + 6

Obrigada!

Answer 1

Resposta:

S = { -15/8, 2}

Explicação passo-a-passo:

( 2n +3).( 2n-3) = n/2 +6

4n² +6n -6n -9 = n/2 +6

4n² -9 -6 - n/2 = 0

4n² -n/2 -15 = 0

Δ = b²-4.a.c

Δ = (-1/2)²-4.4.(-15)

Δ = 1/4 -16.(-15)

Δ = 1/4 + 240

Δ = 961/4

x = -b ±√Δ /2.a

x = -(-1/2) ±√(961/4) /2.4

x = 1/2 ±( 31/2) /8

x' = 1/2 + 31/2 / 8

x' = 32/2 /8

x' = 16 /8

x' = 2

x'' = 1/2 -31/2 /8

x'' = -30/2 /8

x'' = -15/8

Dúvidas só perguntar!