2 square root of 2 x plus 1 end root space minus 2 x equals 1
solve for x

Asked by Malavika Raj | 20th Oct, 2014, 07:38: PM

Expert Answer:

2 square root of 2 x plus 1 end root minus 2 x equals 1 rightwards double arrow 2 square root of 2 x plus 1 end root equals 1 plus 2 x rightwards double arrow 4 left parenthesis 2 x plus 1 right parenthesis equals left parenthesis 1 plus 2 x right parenthesis squared space left square bracket S q u a r i n g space b o t h space s i d e s right square bracket rightwards double arrow 8 x plus 4 equals 4 x squared plus 4 x plus 1 rightwards double arrow 4 x squared minus 4 x minus 3 equals 0 rightwards double arrow 4 x squared minus 6 x plus 2 x minus 3 equals 0 rightwards double arrow 2 x left parenthesis 2 x minus 3 right parenthesis plus 1 left parenthesis 2 x minus 3 right parenthesis equals 0 rightwards double arrow left parenthesis 2 x minus 3 right parenthesis left parenthesis 2 x plus 1 right parenthesis equals 0 x equals 3 over 2 comma minus 1 half

Answered by Prasenjit Paul | 21st Oct, 2014, 09:27: AM