Question

valor de X en la ecuación 5(X + 3) – 5(X² - 1) = X² + 7(3 – X) - 1

Answer 1

Respuesta:

Explicación paso a paso:

5 (x+3) - 5(x^2-1) = x^2+7(3-x) - 1

5x+15 - 5x^2-5= x^2+21 -7x - 1

-5x^2+5x+10 = x^2-7x+20

-5x^2-x^2+5x+7x+10-20 = 0

- 6x^2+12x-10 = 0

Multiplicando la igualdad por (-1):

(-1)(- 6x^2+12x-10)= (+1)(0)

6x^2 -12x +10 = 0

a = 6; b = - 12; c = 10

x = -(-12)±√(-12)^2 - 4(6)(10)/2(6)

x = 12±√144 -240/12

x = 12±√-96/12

x = 12±√16 (6) (-1)/12

x = 12±√16 •√6 - √-1/12

Nota: √-1 = i

x = 12±4√6 i/12

x = 12/12±4√6 i/12

x = 1±√6 i/3

x1 = 1+√6 i/3

x2 = 1-√6 i/3