Question

3x²-5x-12=0 por formula general porfavor con procedimiento

Answer 1

Respuesta:

x₁ = -1.333

x₂ = 3

Explicación paso a paso:

3x² - 5x - 12 = 0

x = {5±√(5²-(4*3*-12))} / (2*3)

x = {5±√(25+144)} / 6

x = {5±√169} / 6

x = {5±13} / 6

x₁ = {5-13} / 6 = -8/6 = -1.333

x₂ = {5+13} / 6 = 18/6 = 3

Comprobación:

x₁

3*-1.333² - 5*-1.333 - 12 = 0

3*1.778 + 6.667 -12 = 0

5.333 + 5.667 - 12 = 0

x₂

3*3² - 5*3 - 12 = 0

27 - 15 -12 = 0