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Equal cubic roots (
Posted on 20240212
)
It is known that two of the roots of the cubic equation x
^{3}
+ 3x
^{2}
− 9x + c = 0 are equal. If c > 0, find the value of c.
No Solution Yet
Submitted by
Danish Ahmed Khan
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Puzzle Solution
 Comment 2 of 3 
a+2b=3, b^2+2ab= 9, c= a*b^2
=> b^2+2(32b)b = 9
=> 3b^2= 3
=> b= +/1
=> a = 3 2b = 1, 5
Thus, c = (1), (5)
=1, 5
Since c>0, it follows that: c=5
Posted by
K Sengupta
on 20240212 21:28:33
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