Find all values of b for which the equations 1988x2+bx+8891=0 and 8891x2+bx+1988=0 have a common root.
Enter all the possible values of b, separated by commas.
Any help would be appreciated
If the two equations have a common root you can equate them (the two equations) to find the two values of x for which it holds (the bx terms cancel out).
Substitute each value of x into either equation and solve for b.
You should find two values (though not 17675308 or -17675308 according to my calculations).