Factorizacion Ejercicio 1 Ubidad 4

Ejercicio 1 Unidad 4 Factorización

Resuelve las siguientes ecuaciones por factorización

1.- x2-16=0

X2- 42 = (x-4) (x+4)= 0

x1 = 4

x2= -4

2.- x2+3x-10=0

5 × -2 = -10 y 5 -2 = 3

( x + 5) (x – 2) = 0

x+5 = 0

x+-2 = 0

x= -5

x=2

x1 = -5

x2 = 2

3.-x2-8x+15=0

-3 × -5= 15 y -3 -5 = - 8

(x-3) ( x-5 ) = 0

x-3 = 0

x-5 = 0

x1 = 3

x2 = 5

4.- x2-5x=0

x(x) + x (-5) = 0

x ( x-5) = 0

x = 0

x – 5 = 0

x = 5

x1= 0

x2= 5

5.- x2-4x+4=0

-2 × -2 = 4 y -2 -2 = - 4

( x – 2 ) ( x – 2 ) = 0

( x – 2)2 = 0

x- 2 = 0

x = 2

6.- x2-2x-24=0

4× -6 = -24 y 4 -6= -2

( x + 4) ( x - 6 ) = 0

x + 4 = 0

x – 6 = 0

x = - 4 x1 =- 4

x = 6 x2 = 6

7.- 2x2-11x-6=0

½ × -6 = - 6/2

½ - 6 = - 11/2

( x + ½ ) ( x – 6 ) = 0

( 2x +1) ( x – 6 ) = 0

2x + 1 = 0

X – 6 = 0

2x = -1

x - 6 = 0

x = - ½x1 = - 1/2

x = 6 x2 = 6

8.- 3x2+2x-1=0

1 × - 1/3 = - 1/3 y 1 – 1/3 = 2/3

( x + 1) ( x – 1/3 ) = 0

( x + 1 ) ( 3x – 1) = 0

x + 1 = 0

3x – 1 = 0

x = -1

3x = 1

x = -1

3x/ 3 = 1/3

X = -1 x1 = -1

X = 1/3 x2 = 1/3

9.- 3x2-7x-6=0

2/3 × -3 = - 6/3 y 2/3 – 3 = - 7/3

( x + 2/3 ) ( x – 3 ) = 0

( 3x + 2) ( x – 3 ) = 0

3x + 2 = 0

x – 3 = 0

3x = -2

x – 3 = 0

3x/3 = - 2/3

x – 3 = 0

x = -2/3 x1 = -2/3

x = 3 x2 = 3

10.- 6x2-11x+3=0

-1/3 ×-3/2 = 3/6 y -1/3 – 3/2 = -11/6

( x – 1/3) ( x – 3/2) = 0

( 3x – 1) ( 2x – 3) = 0

3x – 1 = 0

2x – 3 = 0

3x = 1

3x/3 = 1/3

2x = 3

2x/2 =

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