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Find the non-zero value of c for which there is exactly one positive value of b for which there is one solution to the equation x^2 + (b + 4/b) *x + c = 0

 Apr 24, 2021
 #1
avatar+2250 
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If there is one value, the discriminant sqrt(b^2 -4ac) = 0. 

try solving for that

 

=^._.^=

 Apr 24, 2021
 #2
avatar+121048 
+1

By inspection .....note  that  if  b  =  2      and  c  = 4    we have

 

x^2  +  ( 2  + 4/2) x  +  4    =    0

 

x^2  +  4x   +  4   =     0

 

(x + 2) ^2   =   0

 

So.....the one root  =  -2 

 

 

cool cool cool

 Apr 24, 2021
edited by CPhill  Apr 24, 2021

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