a binary operation oplus o the set of rational ... - JAMB Mathematics 2006 Question
a binary operation \(\oplus\) o the set of rational numbers is defined as x \(\oplus\) y = \(\frac{x^2 - y^2}{2xy}\). Find -5 \(\oplus\) 3
A
\(\frac{8}{15}\)
B
-\(\frac{17}{15}\)
C
\(\frac{17}{15}\)
D
\(\frac{8}{-15}\)
correct option: d
\(\frac{(-5)^2 - (3^2)}{2(-5)(+3)}\)
= \(\frac{25 - 9}{-30}\)
= \(\frac{16}{-30}\)
= \(\frac{8}{-15}\)
= \(\frac{25 - 9}{-30}\)
= \(\frac{16}{-30}\)
= \(\frac{8}{-15}\)
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