Question

2x² + 10x - 5 = 0 cual es el resultado

Answer 1

Respuesta:

Hay 2 posibles respuestas:

x₁ = -5.458

x₂ = 0.458

Explicación paso a paso:

2x² + 10x - 5 = 0

x = {-10±√(10²- (4*2*-5))} / (2*2)

x = {-10±√(100+40)} / 4

x = {-10±√140} / 4

x = {-10±11.832} / 4

x₁ = {-10-11.832] / 4 = -21.832/4 = -5.458

x₂ = {-10+11.832} / 4 = 1.832/4 = 0.458

Comprobación:

x₁

2*-5.458² + 10*-5.458 - 5 = 0

2* 29.789 - 54.58 - 5 = 0

59.58 - 59.58 = 0

x₂

2*0.458² + 10*0.458 - 5 = 0

2*0.21 + 4.58 - 5 = 0

0.42 + 4.58 - 5 = 0

5-5 = 0