afasiask7xg
2022-03-26
How do i approach ahead in this question
Let , , a is not equal to b and the quadratic equations have a common root, then the value of is
smekkleg5hhp
Beginner2022-03-27Added 8 answers
Let . Any root r of and of is also a root of
.
Therefore, or
But you can't have , because
1 is a root of
.
So, if was a root of both and , you would have , but you are assuming that .
If, on the other hand, you have , then . Since a, , this can only occur in two case: when (in which case ) and when (in which case ). In both cases, you have .
Demetrius Kaufman
Beginner2022-03-28Added 10 answers
Hint: , are the two roots of the quadratic for the value of which is the common root.
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