Math, asked by hariharan108, 11 months ago

pls solve this question

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Answered by siddhartharao77
3

Answer:

0

Step-by-step explanation:

Given Equations are x^1/p = y^1/q = z^1/r and xyz = 1.

Let x^1/p = y^1/q = z^1/r = k.

(i)

x^1/p = k

x = k^p


(ii)

y^1/q = k

y = k^q


(iii)

z^1/r = k

z = k^r.


Given that xyz = 1

⇒ k^p * k^q * k^r = 1

⇒ k^(p + q + r) = k^0

p + q + r = 0.


Hope it helps!

Answered by Siddharta7
1

Step-by-step explanation:

x^1/p = y^ 1/q

X = y^p/q

y ^ 1/q = z^1/r

y = z^q/r

X = z^( q/r x p/q)

X= z^ ( p/r)

XYZ = 1

z^p/r z^q/r z = 1

Z^ ( p/r + q/r +1) = 1

P/r + q/r + 1 =0

P+ q + r = 0

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