Question

ayudadme
(x/2 + 3/4)²​

Answer 1

Explicación paso a paso:

Binomio cuadrado perfecto

a² + 2ab + b² = 0

(x/2)² + 2 (x/2)(3/4) + (3/4)² = 0

x²/4 + 6x/8 + 9/16 = 0 (todo entre 4)

x² + 6x/2 + 9/4 = 0

x² + 3x + 2.25 = 0

a= 1

b = 3

c = 2.25

{-b +- √ [(b²) - 4(a)(c)]} / 2 (a)

{-3 +- √ [(3²) - 4(1)(2.25)]} / 2 (1)

{-3 +- √ [(9) - 9)]} / 2 (1)

{-3 +- √ 0} / 2 (1)

{-3 +- 0} / 2 (1)

x = (-3 -0) /2

x = -3 /2

x = -1.5

** comprobamos**

x² + 3x + 2.25 = 0

(-1.5)² + 3(-1.5) + 2.25 = 0

2.25 - 4.5 + 2.25 = 0

4.5 - 4.5 = 0

0 = 0