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If p, q, r are three distinct real numbers, p ≠ 0 such that x2 + qx + pr = 0 and x2 + rx + pq = 0 have a common root, then the value of p + q + r is .....
Correct answer is '0'. Can you explain this answer?
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If p, q, r are three distinct real numbers, p≠ 0such that x2 + qx +...
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If p, q, r are three distinct real numbers, p≠ 0such that x2 + qx +...
If p, q, and r are three distinct real numbers, then at least one of them must be the greatest among the three (denoted by G). Similarly, at least one of them must be the smallest among the three (denoted by S).
If p is the greatest among the three, then q and r must be smaller than p. Therefore, q < p="" and="" r="" />< />
If p is the smallest among the three, then q and r must be greater than p. Therefore, q > p and r > p.
In either case, we can conclude that q and r are not equal to p.
If p is the greatest among the three, then q and r must be smaller than p. Therefore, q < p="" and="" r="" />< />
If p is the smallest among the three, then q and r must be greater than p. Therefore, q > p and r > p.
In either case, we can conclude that q and r are not equal to p.
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If p, q, r are three distinct real numbers, p≠ 0such that x2 + qx + pr = 0 andx2 + rx + pq = 0have a common root, then the value of p + q + r is .....Correct answer is '0'. Can you explain this answer?
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