Respuesta:
a) x = -3 , -7
b) x = -2 , -8
c) x = 3 , -1
d) x = 8 , - 2
a. x² + 10x + 21 = 0
x² + 7x + 3x + 21 =0
x (x+7) + 3 (x+7)=0
(x+7) × (x+3) = 0
x+7=0
x+3=0
x1=-7 x2=-3
b. x² + 10x + 16 = 0
x² + 8x + 2x + 16 = 0
x (x+8) + 2 (x+8) = 0
(x+8) × (x+2) = 0
x+8= 0
x+2=0
x1= -8 x2= -2
c. x² - 2x - 3 = 0
x² + 3x - x - 3 =0
x (x+3) - (x-3) = 0
x+3 = 0
x-1= 0
x1 = -3 x2= 1
d. x² - 6x - 16 = 0
x² + 8x - 2x - 16 = 0
x (x+8) × (x-2) = 0
(x+8) × (x-2) = 0
x + 8 = 0
x - 2 = 0
x1 = -8 x2 = 2
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Verified answer
Respuesta:
a) x = -3 , -7
b) x = -2 , -8
c) x = 3 , -1
d) x = 8 , - 2
Respuesta:
a. x² + 10x + 21 = 0
x² + 7x + 3x + 21 =0
x (x+7) + 3 (x+7)=0
(x+7) × (x+3) = 0
x+7=0
x+3=0
x1=-7 x2=-3
b. x² + 10x + 16 = 0
x² + 8x + 2x + 16 = 0
x (x+8) + 2 (x+8) = 0
(x+8) × (x+2) = 0
x+8= 0
x+2=0
x1= -8 x2= -2
c. x² - 2x - 3 = 0
x² + 3x - x - 3 =0
x (x+3) - (x-3) = 0
x+3 = 0
x-1= 0
x1 = -3 x2= 1
d. x² - 6x - 16 = 0
x² + 8x - 2x - 16 = 0
x (x+8) × (x-2) = 0
(x+8) × (x-2) = 0
x + 8 = 0
x - 2 = 0
x1 = -8 x2 = 2