Question

Ecuación cuadrática
(2x-1)(3x+4)=2(x^2+2,5)

Me tiene que x1=1 x2=1/4

Answer 1

Respuesta:

x1 = 1

x2 = -9/4

Explicación paso a paso:

(2x - 1)(3x + 4) = 2(x² + 2,5)

6x² + 8x - 3x - 4 = 2x² + 5

6x² + 5x - 4  - 2x² - 5 = 0

4x² + 5x - 9 = 0

a = 4     b = 5     c = -9

x = (- b ±√(b² - 4.a.c))/2.a

x = (- 5 ±√(5² - 4.4.-9))/2.4

x = (- 5 ±√(25 + 144))8

x = (-5 ±√(169))/8

x1 = (-5 + 13)/8

x1 = 8/8

x1 = 1

x2 = (-5 - 13)/8

x2 = (-18)/8

x2 = -9/4