Question

formula general x²-4x+1=0

Answer 1

x² - 4x + 1 = 0

a = 1 , b = -4 , c = 1 ; Usando la formula tenemos

x = -(-4)±√(-4)²- 4×1×1 / 2×1 ⇒ x = 4 ± √16 - 4 / 2 ⇒ x = 4 ± √12 / 2

Se simplifica la raíz, √4×3 = √2²×3 = 2√3

x = 4 ± 2√3 / 2 ; Sacamos factor común 2, x = 2(2 ± √3) / 2

x1 = 2+√3 , x2 = 2-√3