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CGP EDU Academic Team
Published on: August 13, 2026
The number of distinct real roots of the equation x 2 -7x-2 = 0 is
Text Solution
Verified by ExpertsThe correct answer is:
D
x 7 - 7x - 2 = 0
x 7 -7x = 2
f(x) = x 7 - 7x (odd) & y = 2
f(x) = x (x 2 - 7 I/3 ) (x 4 + x 2 . T 1/3 + 7 2/3 )
f (x) = 7(x 6 - 1) = 7 (x 2 - 1) (x 4 + x 2 + 1)
f (x) = 0 
x = ± 1
f(x) = 2 has 3 real distinct solution.
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