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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 \(c\)?

 

Please answer soon! Thank you!

 Jan 22, 2021
edited by Guest  Jan 22, 2021
edited by Guest  Jan 22, 2021
 #1
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By the quadratic formula, c = 10.

 Jan 22, 2021
 #2
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"c"  must be  the  value of the discriminant

 

Thus

 

5^2  - 4(1) (c)   =  c

 

25  - 4c  = c

 

25   =  5c

 

c = 5

 

Check for yourself that     x^ 2  + 5x +  5  =  0       has roots  of the  form   given

 

cool cool cool  

 Jan 22, 2021

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