Q. The system $y^{(x^{2} + 7x + 12)} = 1\ and\ x + y = 6,y > 0$ has
A) No solution
B) One solution
C) Two solution
D) More than 2 solutions
Explanation
(d)
$y^{x^{2} + 7x + 12} = 1$
$\Rightarrow x^{2} + 7x + 12 = 0$
$\Rightarrow x = - 3,\ - 4$
$\Rightarrow y = 9,\ 10$ (when $y \neq 1)$
Again when $y = 1,\ x = 5.$
$\therefore Solutions\ are\ ( - 3\ ,9),( - 4,\ 10),\ (5,\ 1)$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.