It's 4x^2 not 4^2.

Asked by nitinkumarsingh.singh.75 | 19th Jul, 2015, 11:29: AM

Expert Answer:

C o n s i d e r space t h e space g i v e n space e x p r e s s i o n comma space 4 x squared minus 2 open parentheses a squared plus b squared close parentheses x plus a squared b squared equals 0 S o l v i n g space t h r o u g h space q u a d r a t i c comma space w e space h a v e comma x equals fraction numerator 2 open parentheses a squared plus b squared close parentheses plus-or-minus square root of 4 open parentheses a squared plus b squared close parentheses squared minus 4 cross times 4 cross times a squared b squared end root over denominator 2 cross times 4 end fraction rightwards double arrow x equals fraction numerator 2 open parentheses a squared plus b squared close parentheses plus-or-minus square root of 4 open parentheses a squared plus b squared close parentheses squared minus 16 a squared b squared end root over denominator 2 cross times 4 end fraction rightwards double arrow x equals fraction numerator 2 open parentheses a squared plus b squared close parentheses plus-or-minus 2 open parentheses a squared minus b squared close parentheses over denominator 8 end fraction rightwards double arrow x equals fraction numerator open parentheses a squared plus b squared close parentheses plus-or-minus open parentheses a squared minus b squared close parentheses over denominator 4 end fraction rightwards double arrow x equals fraction numerator 2 a squared over denominator 4 end fraction space o r space x equals fraction numerator 2 b squared over denominator 4 end fraction rightwards double arrow x equals a squared over 2 space o r space x equals b squared over 2

Answered by Vimala Ramamurthy | 21st Jul, 2015, 09:12: AM

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