A binary operation ? is defined on the set of real numbers R, by x?y...

FURTHER MATHEMATICS
WAEC 2022

A binary operation ? is defined on the set of real numbers R, by x?y = \(\sqrt{x+y - \frac{xy}{4}}\), where x, yER. Find the value of 4?3

  • A. 16
  • B. 8
  • C. 4
  • D. 2

Correct Answer: D. 2

Explanation

x?y = \(\sqrt{x+y - \frac{xy}{4}}\)

4?3 = \(\sqrt{4+3 - \frac{4*3}{4}}\)

= \(\sqrt{4+3-3}\)

= \(\sqrt{4}\)

= 2.



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