SOLUTION: if the roots of the equation x^2+x+m=0 be real and unequal.Prove that the roots of the equation 2x^2+4(1+m)x+2m^2+3=0 are imaginary. where m is real.

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Question 1095554: if the roots of the equation x^2+x+m=0 be real and unequal.Prove that the roots of the equation 2x^2+4(1+m)x+2m^2+3=0 are imaginary. where m is real.
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
...the roots of the equation x^2+x+m=0 be real and unequal.
So the dicriminant 
                                         
                                           

Prove that the roots of the equation 2x^2+4(1+m)x+2m^2+3=0 are imaginary. where m is real.
 


We have to prove that the discriminant of that is negative:







Since 
      
      
      

Proved.

Edwin

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