X^2+10x+k=0

Question

Solve for the smallest integral value of k if the roots of the equation x^2+10x+k=0 are imaginary

Answer 1

X^2 + 10X +K =0

 

  Discriminant : 10^2 - 4k < 0

 

                       100 - 4k <0

 

                        25 - k <0

                       

                          k > 25