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Let \(3x^2 + 4x + c = 0.\) What value of c will give us exactly one solution for x?

 Feb 14, 2022
 #1
avatar+124594 
+2

We will have exactly real one solution  whenever the discriminant   =  0 

 

We have the form  ax^2  + bx + c = 0

 

So....the  discriminant is

 

b^2  - 4ac

 

4^2 - 4 (3)(c)  = 0

 

16 - 12c  =  0 

 

16  =12c

 

16/12  = c

 

4/3  = c

 

cool cool cool

 Feb 14, 2022
 #2
avatar+251 
+3

Thank you CPhill!

dolphinia  Feb 14, 2022

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