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CBSE Class 10 Answered

solve the following equation. (3x²+10)square root +( 6-x²)square root =6
Asked by vikasg13.hardware | 07 Aug, 2018, 05:27: PM
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begin mathsize 16px style square root of 3 straight x squared plus 10 end root plus square root of 6 minus straight x squared end root equals 6 open parentheses square root of 3 straight x squared plus 10 end root plus square root of 6 minus straight x squared end root close parentheses squared equals 36 3 straight x squared plus 10 plus 6 minus straight x squared plus 2 square root of 3 straight x squared plus 10 end root cross times square root of 6 minus straight x squared end root equals 36 2 straight x squared plus 16 plus 2 square root of 3 straight x squared plus 10 end root cross times square root of 6 minus straight x squared end root equals 36 2 straight x squared minus 20 equals negative 2 square root of 3 straight x squared plus 10 end root cross times square root of 6 minus straight x squared end root straight x squared minus 10 equals negative square root of 3 straight x squared plus 10 end root cross times square root of 6 minus straight x squared end root open parentheses straight x squared minus 10 close parentheses squared equals open parentheses 3 straight x squared plus 10 close parentheses cross times open parentheses 6 minus straight x squared close parentheses straight x to the power of 4 minus 20 straight x squared plus 100 equals 18 straight x squared minus 3 straight x to the power of 4 plus 60 minus 10 straight x squared 4 straight x to the power of 4 minus 20 straight x squared minus 8 straight x squared plus 40 equals 0 4 straight x to the power of 4 minus 28 straight x squared plus 40 equals 0 straight x to the power of 4 minus 7 straight x squared plus 10 equals 0 open parentheses straight x squared minus 5 close parentheses open parentheses straight x squared minus 2 close parentheses equals 0 straight x squared equals 5 space or space straight x squared equals 2 straight x equals plus-or-minus square root of 5 space or space straight x equals plus-or-minus square root of 2 end style
Answered by Sneha shidid | 08 Aug, 2018, 10:19: AM

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