[JEE Main 2014] the sum of all real x satisfying x 2 5x 5 x 2 4x
The sum of all real $x$ satisfying $(x^2-5x+5)^{x^2+4x-60}=1$ is
(a) $6$
(b) $5$
(c) $3$
(d) $-4$
1 Answer
VAVidaara Admin
✓ Vidaara Team
✓ Accepted
· 2d ago
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Correct answer: (c) $3$
Base $=1$: $x=1,4$; exponent $=0$: $x=6,-10$; base $=-1$ with even exponent: $x=2$ (not $3$, odd exponent). Sum $1+4+6-10+2=3$.
JEE Main 2014 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.
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