A binary operation ,*, is defined on the set R, of real numbers by \(a
FURTHER MATHEMATICS
WAEC 2008
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: B. 2
Explanation
\(a * b = a^{2} + b + ab\)
\(5 * x = 5^{2} + x + 5x = 37\)
\(25 + 6x = 37 \implies 6x = 12\)
\(x = 2\)
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