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The quadratic x^2 +5x + c has roots in the form of \(x = \frac {-5 \pm \sqrt c}{2}\) . What is the value of c?

 Feb 23, 2018
 #1
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The product of the roots = c / a  =  c

 

So this implies that.......

 

[ -5 + √c] / 2  *  [ -5 - √c ] / 2    =  c

 

[25  - c] / 4  = c

 

25 -  c  =  4c

 

25  =   5c

 

5  =  c

 

 

cool cool cool

 Feb 23, 2018
edited by CPhill  Feb 23, 2018

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