Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If 
are two numbers such that 
and 
, then :
A
The greatest value of 
B
The greatest value of 
is 4
is 4 C
The least value of 
is 1
is 1 D
The least value of 
is 1
is 1
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a, b, d)
We are given:
and asked about 
or 
.
Step 1: Use formulas
We know:
Also:
Step 2: Express cubic sum in terms of 
Set equal to 10:
Step 3: Solve cubic 
Try integer roots 
:
: 
root
root
So roots: 
and one more (check sum of roots 
- third root 
)
Step 4: Identify greatest/least values
Possible 
Greatest 
→ True
Least 
option not given
Greatest 
→ True
Least 
True
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