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Find all the values of a for which the equations

 

x^2 + ax + 1 = 0

x^2 - x - a = 2

 

have a common real root. Enter all the possible values, separated by commas.

 Jan 22, 2022
 #1
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x_1 + x_2 = -a

x_1 x_2 = 1

x_1 + x_2 = -1

x_1 x_2 = -a

-a=-1

1=-a

a=-1, 1

 Jan 22, 2022

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