Question bank/JEE Main/Mathematics
JEE MainMathematicsModerateQuadratic Equations
n (x - 8)x = n(n - 10)
Show answer and solution
x^2 - 8x - n(n - 10) = 0 has no real solutions
This implies
64 + 4n(n - 10) < 0
n^2 - 10n + 16 < 0
(n - 8)(n - 2) < 0
2 < n < 8 Therefore, n = 3, 4, 5, 6,
This implies
64 + 4n(n - 10) < 0
n^2 - 10n + 16 < 0
(n - 8)(n - 2) < 0
2 < n < 8 Therefore, n = 3, 4, 5, 6,
Source: Grass-G / M-03 Paper 1 Mathematics 21-8-2020_Final.docx
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