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Let 3x^2 + 4x + c = 0/ What value of c with give us exactly one solution for x?

 

I am not sure how exactly to complete these kind of problems.

 

Thanks in advance.

 Feb 13, 2018
 #1
avatar+100516 
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If we have only one solution  ...the discriminant will = 0

 

So    a  =  3 ,  b  =  4    and  c  =  ???

 

The discriminant is  given by :

 

b^2  - 4ac          so.... plugging in, we have that

 

4^2  - 4(3)(c)  =  0

 

16 -  12c  = 0

 

16  =  12c       divide both sides by 12

 

16/12   = c  =    4/3

 

Here's the graph that confirms one solution :

 https://www.desmos.com/calculator/1ldxjsdqjn

 

 

cool cool cool

 Feb 13, 2018

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