Question

Formula general 6x²-10=4x

Answer 1

Respuesta:

x₁ = -1

x₂ = 1.6667

Explicación paso a paso:

6x² - 10 = 4x

6x² - 4x - 10 = 0

x = {4±√((-4²)-(4*6*-10))} / (2*6)

x = {4±√(16+240)} / 12

x = {4±√256} / 12

x = {4±16} / 12

x₁ = {4-16} / 12 = -12/12 = -1

x₂ = {4+16} / 12 = 20/12 = 1.6667

Comprobación:

(6*-1²)-10 = 6-10 = 4*-1 = -4

(6*1.6667²) - 10 = (6*2.7778) - 10 = 16.6667-10 = 4*1.6667 = 6.6667