Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Find the non − zero roots of the equation,
(i) Δ = 
= 0.
(ii) 
= 0
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(i)x = − 2 b/a (ii)4
Sol. (i) 
= 0
Applying C 3 → C 3 – C 2
= 0 ⇒ 
= 0
Applying C 1 → C 1 – C 3
⇒ x(ax + 2b)(b 2 – ac) = 0
∴ Non zero root of equation x = 
(ii) 
Applying C 2 → C 2 – C 3
= 0
Applying R 1 → R 1 – R 3 & , R 2 → R 2 – R 3
= 0 ⇒ –1[(8 – x)3 + 3(4 – 2x)] = 0 ⇒ 9x = 36 ⇒ x = 4
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