passpadi

2006

Mathematics

67ca00ce0c643c71d77dee1f

A binary operation * on the set of rational numbers is defined asx×y=(x^2-y^2)/2xy find-5×3

A.

-8/15

B.

8/15

C.

17/15

D.

-17/15

Correct Answer: -8/15

Explanation

(x)×(y)=(x2-y2)/2xy find-5×3=((x+y)(x-y))/2xy=((-5+3)(-5-3))/(2(-5×3))=(-2×-8)/(2(-5×3))=(-8)/15

(x)×(y)=(x2-y2)/2xy find-5×3=((x+y)(x-y))/2xy=((-5+3)(-5-3))/(2(-5×3))=(-2×-8)/(2(-5×3))=(-8)/15
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