Respuestas
Respuesta:
1)
a. 4x^2 - x - 3 = 0
4x^2 + 3x - 4x - 3 = 0
X x (4x + 3) - 4x - 3 = 0
X x (4x + 3) - (4x + 3) = 0
(4x + 3) + (x - 1) = 0
...
4x + 3 = 0 // x = - 3/4
x - 1 = 0 // x = 1
...
x_{1} = - 3/4, x_{2} = 1
{S= 4x + 3= 0 // x - 1 = 0}
b. 2x^2 - 5x - 3 = 0
2x^2 + x - 6x - 3 = 0
X x (2x + 1) - 3 (2x + 1) = 0
(2x + 1) x (x - 3) = 0
...
2x + 1 = 0 // x = - 1/2
x - 3 = 0 // x = 3
...
{S= x_{1} = - 1/2} // 2x + 1 = 0
{S= x_{2} = 3 // x - 3 = 0}
2)
a. x^2 - 5x + 6 = 0
x^2 - 2x - 3x + 6 = 0
X x (x - 2) - 3 (x - 2) = 0
(x - 2) x (x - 3) = 0
...
x - 2 = 0 // x = 2
x - 3 = 0 // x = 3
{S= x_{1} = 2, x_{2} = 3
b. 2x^2 - 5x - 3 = 0
2x^2 + x - 6x - 3 = 0
X x (2x + 1) - 3 (2x + 1) = 0
(2x + 1) x (x - 3) = 0
...
2x + 1 = 0 // x = - 1/2
x - 3 = 0 // x = 3
...
{S= x_{1} = - 1/2, x_{2} = 3
(Espero que te sirva :)