Manipal MET2013MathematicsMathematical Reasoning
G is a set of all rational numbers except -1 and is defined by a * b=a+b+a b for all a, b G , in the group ( G, ^* ), the solution of 2⁻¹ * x * 3⁻¹=5 is
Options
- A71
- B68
- C63 / 5
- D72 / 5
Correct answer
A. 71
Step-by-step solution
2^ -1 * x^ 3⁻¹=5 x=2^* (5^* 3 )=2^*(5+3+15)=2 *(23)=2+23+46=71