Question

(2x+1)(x-2) = x (x + 5) + (x-5) (x + 1) ​

Answer 1

Respuesta:

x = 3/4

Explicación paso a paso:

(2x+1)(x-2) = x (x + 5) + (x-5) (x + 1)

2x² -3x - 2 = x² + 5x + x² - 4x - 5

2x² - 3x - 2 = 2x² + x - 5

-4x = -3 => x = 3/4

Comprobación:

(2(3/4)+1)(3/4-2) = 3/4(3/4 + 5) + (3/4-5) (3/4 + 1)

(3/2+2/2)(3/4-8/4) = 3/4(3/4+20/4) + (3/4-20/4) (3/4 + 4/4) = (5/2)(-5/4) = 3/4(23/4) + (-17/4)(7/4)

-25/8 = 69/16 + (-119/16) => -25/8 = -50/16 => -25/8 = -25/8

RPTA: x = 3/4