if-x-y-is-x-y-1-

Question Number 52713 by F_Nongue last updated on 12/Jan/19

i f ∣ x ∣=∣ y ∣ i s \frac{x}{y} = - 1 ?

Commented by maxmathsup by imad last updated on 12/Jan/19

i f x a n d y r e a l ∣ x ∣=∣ y ∣ \Leftrightarrow∣ \frac{x}{y} ∣= 1 \Leftrightarrow \frac{x}{y} = 1 o r \frac{x}{y} = - 1 (w e s u p p o s e y \neq 0)

i f x a n d y f r o m C ∣ x ∣=∣ y ∣ \Leftrightarrow∣ \frac{x}{y} ∣= 1 \Leftrightarrow \exists θ \in R / x = y e^{i θ} .

Answered by Kunal12588 last updated on 12/Jan/19

∣ x ∣=∣ y ∣

\Rightarrow x = \pm y

\Rightarrow \frac{x}{y} = 1 o r \frac{x}{y} = - 1

Answered by tanmay.chaudhury50@gmail.com last updated on 12/Jan/19

∣ x ∣^{2} =∣ y ∣^{2}

x^{2} - y^{2} = 0

(x + y) (x - y) = 0

w h e n x + y = 0

\frac{x}{y} = - 1 a n d w h e n x - y = 0 \frac{x}{y} = 1

f r o m g r a p h i t c a n b e s e e n \dots a t t a c h i n g \dots

Commented by tanmay.chaudhury50@gmail.com last updated on 12/Jan/19

Commented by F_Nongue last updated on 25/Jan/19

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