pls solve this question
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Answered by
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
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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