A binary operation ,*, is defined on the set R, of real numbers by (a * b = a^{2} + b + ab). Find the value of x for which (5 * x = 37).
-
A.
7 -
B.
2 -
C.
-2 -
D.
-7
Correct Answer: Option B
Explanation
(a * b = a^{2} + b + ab)
(5 * x = 5^{2} + x + 5x = 37)
(25 + 6x = 37 implies 6x = 12)
(x = 2)