+0  
 
0
97
1
avatar

If the roots of the quadratic equation 1/2*x^2 + 99x + c = 0 are \(-99 - \sqrt{9577}\) and \(-99 + \sqrt{9577}\), then what is the value of c?

 Jun 9, 2022
 #1
avatar+124676 
+1

(1/2)x^2  +  99x  + c  =  0

 

We have the form     ax^2 + bx + c  = 0

 

The product of the roots =  c / a

 

So

 

[-99 -sqrt (9577) ]  * [ -99 + sqrt (9577) ]  =    c / (1/2)

 

9801 - 9577  =  c / (1/2)

 

224 = c / (1/2)

 

224 (1/2)  =   c   =    112

 

 

cool cool cool

 Jun 9, 2022

30 Online Users