Question

ayudenme esta pregunta plz!!! (imagen)

Answer 1

Respuesta:

m = -16

m = 16

Explicación paso a paso:

2x²+mx+30 = 0

x₁/x₂ = 3/5

x₁ = 3k

x₂ = 5k

teorema de cardano

x₁+x₂ = -m/2

x₁·x₂ = 30/2 = 15

x₁·x₂ = 15

3k·5k = 15

15k² = 15

k² = 1

k = ±1

x₁+x₂ = -m/2

3k+5k = -m/2

8k = -m/2

8(±1) = -m/2

±8 = -m/2

±(-16) = m

m = 16

m = -16