Question

find (a÷b)-(b÷a) if (a×a)-(b×b)=-3 and (ab)=2 ?


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Answer 1

Answer:

$-\frac{3}{2}$

Step-by-step explanation:

First, make $\frac{a}{b} -\frac{b}{a}$ into a simple form.

$\frac{a^2-b^2}{ab}$

Second, use

$a^2-b^2=-3\\ab=2$

$\frac{a^2-b^2}{ab} \\=\frac{-3}{2} \\=-\frac{3}{2}$

∴$-\frac{3}{2}$