$\frac{A}{B} = \frac{B}{A}$ $A/B=B/A" "$ is true if?

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$\frac{A}{B} = \frac{B}{A}$ $A/B=B/A" "$ is true if?

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Answer 1 · 2018-06-24T12:15:36

$A = \pm B$ $A= +- B$

Explanation:

If $\frac{A}{B} = \frac{B}{A}$ $A/B = B/A$ then (assuming $A, B \neq 0$ $A,B != 0$ ) multiplying by $A B$ $AB$ we get:

$\frac{A}{B} \cdot A B = \frac{B}{A} \cdot A B$ $A/B * AB = B/A * AB$

$:. A^2 = B^2$

$:. A^2 - B^2 = 0$

$:. (A-B)(A+B)= 0$

${ (A-B= 0=> A=B), (A+B= 0=> A=-B) :}$

Thus there are two possibilities

$A= +- B$

Answer 2 · 2018-06-24T12:17:50

Cross multiply

$A/B=B/A" is true if "A^2=B^2" in which case "A=+-B$

Explanation:

as above

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$\frac{A}{B} = \frac{B}{A}$ $A/B=B/A" "$ is true if?

2 Answers

Explanation:

Explanation:

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A/B=B/A" "AB=BA A/B=B/A" " is true if?

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$\frac{A}{B} = \frac{B}{A}$ $A/B=B/A" "$ is true if?