Question
Download Solution PDFx + y + z = 0 అయితే, \({{x^2} \over (yz)}\)+\({{y^2} \over (xz)}\)+\({{z^2} \over (xy)}\) విలువ ఎంత?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇవ్వబడింది:
x + y + z = 0
ఉపయోగించిన భావన:
x3 + y3 + z3 - 3xyz = (x + y + z)(x2 + y2 + z2)
x + y + z = 0 అయితే, అప్పుడు
x3 + y3 + z3 - 3xyz = 0
కాబట్టి, x3 + y3 + z3 = 3xyz
లెక్కింపు:
\({{x^2} \over (yz)}\) + \({{y^2} \over (xz)}\) + \({{z^2} \over (xy)}\)
⇒ \({{x^3 + y^3 + z^3} \over (xyz)}\)
⇒ \({{3xyz} \over xyz}\)
⇒ 3
∴ అవసరమైన సమాధానం 3.
Last updated on Jul 19, 2025
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