Respuesta :

steph9155
The first step is to quickly factor each of the five equations... to do so, find the right factors of the 3rd given number so that they add up in an equal number to the second number... 14 = -7 • -2 and -9 = -7 + -2


a^2 - 9a + 14 = 0
(a - 7) (a - 2)

a - 7 = 0, a = 7
a - 2 = 0, a = 2

{2,7}



a^2 + 9a + 14 = 0
(a + 7) (a + 2)

a + 7 = 0, a = -7
a + 2 = 0, a = -2

{-2, -7}


a^2 + 3a - 10 = 0
(a + 5) (a - 2)

a + 5 = 0, a = -5
a - 2 = 0, a = 2

{-5, 2}


a^2 - 5a - 14 = 0
(a - 7) (a + 2)
a - 7 = 0, a = 7
a + 2 = 0, a = -2

{-2, 7}
6035288

Answer:

a^2 - 9a + 14 = 0 Matches [ 7, 2]

a^2 + 9a + 14 = 0 Matches [ -7,-2]

a^2 + 5a - 14 = 0 Matches [ -7, 2]

a^2  - 5a - 14 = 0 Matches [ 7, -2]

Step-by-step explanation:

I used the diamond method to factor the Equations and the  Solved for x using the factors.

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