dd2 divided by square root of x space plus 3 square root of y space equals 2 space semicolon space 4 space square root of x space minus 9 divided by square root of y space equals negative 1

Asked by meeldeepanshu | 4th Jun, 2015, 01:19: AM

Expert Answer:

fraction numerator 2 over denominator square root of x end fraction plus 3 square root of y equals 2 space rightwards double arrow space fraction numerator 2 over denominator square root of x end fraction equals space 2 minus 3 square root of y rightwards double arrow square root of x equals fraction numerator 2 over denominator 2 minus 3 square root of y end fraction...... left parenthesis i right parenthesis 4 square root of x minus fraction numerator 9 over denominator square root of y end fraction equals negative 1.... left parenthesis i i right parenthesis  S u b s t i t u t i n g space left parenthesis i right parenthesis space i n space left parenthesis i i right parenthesis comma fraction numerator 4 cross times 2 over denominator 2 minus 3 square root of y end fraction minus fraction numerator 9 over denominator square root of y end fraction equals negative 1 rightwards double arrow fraction numerator 8 over denominator 2 minus 3 square root of y end fraction minus fraction numerator 9 over denominator square root of y end fraction equals negative 1 rightwards double arrow fraction numerator 8 square root of y minus 18 plus 27 square root of y over denominator square root of y open parentheses 2 minus 3 square root of y close parentheses end fraction equals negative 1 rightwards double arrow fraction numerator 35 square root of y minus 18 over denominator square root of y open parentheses 2 minus 3 square root of y close parentheses end fraction equals negative 1 rightwards double arrow 35 square root of y minus 18 equals negative 2 square root of y plus 3 y rightwards double arrow 37 square root of y equals 3 y plus 18 rightwards double arrow left parenthesis 3 y plus 18 right parenthesis squared equals open parentheses 37 square root of y close parentheses squared rightwards double arrow 9 y squared plus 108 y plus 324 equals 1369 y rightwards double arrow 9 y squared minus 1261 y plus 324 equals 0 S o l v i n g space f o r space y comma space w e space g e t y equals 139.85 space comma space 0.26  F o r space y equals 139.85 comma space square root of x equals fraction numerator 2 over denominator 2 minus 3 square root of 139.85 end root end fraction equals fraction numerator 2 over denominator 2 minus 3 cross times 11.83 end fraction equals fraction numerator 2 over denominator 2 minus 35.49 end fraction equals negative fraction numerator 2 over denominator 33.49 end fraction left square bracket N o t space p o s s i b l e right square bracket  F o r space y equals 0.26 square root of x equals fraction numerator 2 over denominator 2 minus 3 square root of 0.26 end root end fraction equals fraction numerator 2 over denominator 2 minus 1.53 end fraction equals fraction numerator 2 over denominator 0.47 end fraction equals 4.25 x equals 18.0625  therefore x equals 18.0625 comma space y equals 0.26

Answered by Prasenjit Paul | 5th Jun, 2015, 12:02: PM

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