Find all values of \(b\) for which the equations \(1988x^2 + bx + 8891 = 0\) and \(8891x^2 + bx + 1988 = 0\) have a common root.
Enter all the possible values of \(b\), separated by commas.
Any help would be appreciated
The possible values of b are 17675308 and -17675308.
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).