Question

Resuelve las siguientes ecuaciones cuadráticas por factorización (Con prosedimiento).}

a) 8x2+6x+1=0

b) 2x2-x-10=0

c) x2-4x+3=0

d) x2´+4x+4=0

e) x2+13x+36=0

Answer 1

a) 8x² + 6x + 1 = 0
(4x+1)(2x+1) = 0

4x+1 = 0
x = -1/4

2x+1 = 0
x= -1/2

b) 2x² - x - 10 = 0
(2x-5)(x+2) = 0

2x-5 = 0
x = 5/2

x+2 = 0
x = -2

c) x² - 4x + 3 = 0
(x-3)(x+3) = 0

x-3 = 0
x = 3

x+3 = 0
x = -3

d) x² + 4x + 4 = 0
(x+2)² = 0

x+2 = 0
x = -2 con multiplicidad 2

e) x² + 13x + 36 = 0
(x+4)(x+9) = 0

x+4 = 0
x = -4

x-9 = 0
x = 9