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For what values of a does the equation ax +a^2=0

have exactly one solution in the interval (−1, 2)?

 Nov 2, 2019
 #1
avatar+105238 
+1

ax + a^2  = 0

 

a(x + a)  =  0

 

a = 0          x +  a  =  0

 

a = 0          x  = -a

 

reject         accept

 

This will have exactly one solution when  a  =  (-2.0) U (0, 1)

 

 

cool cool cool

 Nov 2, 2019
 #2
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followup questions:

 

For what values of a does the equation ax +a^2=0

have a solution in the interval (−1, 2)?

 

 

For what values of a does the equation ax +a^2=0

perform for all x from the interval (−1, 2)? 

 Nov 3, 2019

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