Question

2X²-7X-4=0 COMPROBAR RESULTADO

Answer 1

Respuesta:

x₁ = -0.5

x₂ = 4

Explicación paso a paso:

Planteamiento:

2x² - 7x - 4 = 0

Desarrollo:

x = {-(-7)±√((-7)²-(4*2*-4))} / (2*2)

x = {7±√(49+32)} / 4

x = {7±√81} / 4

x = {7±9} / 4

x₁ = {7-9}/4 = -2/4 = -1/2 = -0.5

x₂ = {7+9}/4 = 16/4 = 4

Comprobación:

x₁

2*-0.5² - 7*-0.5 - 4 = 0

2*0.25 + 3.5 - 4 = 0

0.5 + 3.5 - 4 = 0

x₂

2*4² - 7*4 - 4 = 0

2*16 - 28 - 4 = 0

32 - 28 - 4 = 0