Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Two roots of a bi-quadratic x 4 – 18x 3 + kx 2 + 200x – 1984 = 0 have their product equal to (–32). Find the value of k.
Text Solution
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Sol. Identify roots and coefficients from the quartic equation:
So, Sum of roots, 
Product of roots, 
Assign roots as 
.
Given 
.
Calculate 
.
Define 
and 
.
We know: 
Use the sum of products of three roots:
Group as:
Substitute known values:
Solve system:
From first equation: 
Substitute into second:
Calculate 
:
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