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ICSE Class 10 Answered

If y (3x- y) : x (4x+y) =5:12, find (x²+y²) : (x+y) ²
Asked by nehalmukhia53 | 21 Jun, 2022, 07:46: PM
answered-by-expert Expert Answer
y left parenthesis 3 x minus y right parenthesis colon x left parenthesis 4 x plus y right parenthesis equals 5 colon 12 12 y left parenthesis 3 x minus y right parenthesis space equals space 5 x left parenthesis 4 x plus y right parenthesis 36 x y minus 12 y squared equals 20 x squared plus 5 x y 20 x squared plus 12 y squared minus 31 x y equals 0 D i v i d i n g space b y space y squared 20 x squared over y squared minus 31 x over y plus 12 y squared equals 0 rightwards double arrow open parentheses 4 x over y minus 3 close parentheses open parentheses 5 x over y minus 4 close parentheses equals 0 rightwards double arrow x over y equals 3 over 4 space space o r space space x over y equals 4 over 5 w h e n space x over y equals 3 over 4 comma space w e space g e t space fraction numerator x squared plus y squared over denominator x plus y end fraction equals 25 over 49 W h e n space x over y equals 4 over 5 comma space w e space g e t space fraction numerator x squared plus y squared over denominator x plus y end fraction equals 41 over 81
Answered by Renu Varma | 25 Jun, 2022, 09:05: AM

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