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a) 8x^2 + 6x + 1 = 0 => Aplicando aspa simple
4x 1 -> 2x
2x 1 -> 4x
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6x
( 4x + 1 ) ( 2x + 1 ) = 0 => Igualando a 0 cada producto
4x + 1 = 0 ; 2x + 1 = 0
4x = -1 2x = -1
x = -1/4 x = -1/2
b) 2x^2 - x - 10 = 0 => Aplicando aspa simple
2x -5 -> -5x
x +2 -> +4x
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-x
( 2x - 5 ) (x + 2) = 0 => igualando a 0 cada producto
2x - 5 = 0 ; x + 2 = 0
2x = 5 x = -2
x = 5/2
c) x^2 - 4x + 3 = 0 => aplicando aspa simple
x -3 --> -3x
x -1 --> -1x
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-4x
( x - 3 ) ( x - 1) = 0 igualando a cero cada producto
x - 3 = 0 ; x - 1 = 0
x = 3 x = 1
d) x^2 + 4x + 4 = 0 =>aplicando aspa simple
x 2 --> +2x
x 2 --> +2x
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4x
(x + 2) ( x + 2) = 0 =>igualando a cero cada producto
x + 2 = 0 ; x + 2 = 0
x = -2 ; x = -2
e) x^2 + 13x + 36 = 0 => Aplicando aspa simple
x 9 --> 9x
x 4 --> 4x
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13x
( x + 9 ) ( x + 4 ) = 0 =>igualando a cero cada producto
x + 9 = 0 ; x + 4 = 0
x = -9 x = -4