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secondary 3 | A Maths
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Anyone knows how to solve this by using sum & products of roots?
Date Posted: 3 years ago
Views: 159
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Since the question states that the roots differ by 1, there are 2 possibilities:
(1) x=a (smaller root) & x=a+1 (bigger root)
(2) x=a-1 (smaller root) & x=a (bigger root)
If you use (2), you will end up with a=-1 or a=-2. You will need to reject a=-1 because if you substitute x=-1 into the given quadratic equation, the left side will be 2, will the right side will be 0 (which is impossible).
(1) x=a (smaller root) & x=a+1 (bigger root)
(2) x=a-1 (smaller root) & x=a (bigger root)
If you use (2), you will end up with a=-1 or a=-2. You will need to reject a=-1 because if you substitute x=-1 into the given quadratic equation, the left side will be 2, will the right side will be 0 (which is impossible).
Date Posted:
3 years ago
Thank you!!!
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