Question

comprises of 5 questions of 6 marks each (4*4=16marks)​

Answer 1

$\bf \: x = sqrt (3 + x)</p><p> \\ \\ </p><p> \bf \color{purple}Squaring both sides.</p><p> \\ \\ </p><p> \bf \: x^2= x + 3</p><p> \\ \\ </p><p> \bf \: x^2 - x - 3 = 0</p><p> \\ \\ </p><p> \bf \: => x = [1 + sqrt (13)]\2 and [1 - sqrt (13)]\2</p><p></p><p> \bf \: [1- sqrt(13)]2 \: is \: negative, \: which \: is \: not \: possible. \: \\ \\ \color{purple} \bf \: Hence \: answer \: is \: [1+sqrt(13)]2.</p><p></p><p>$