Question

√2x+7=x+2 factorise this question

Answer 1

$\sqrt{2}x + 7 = x + 2 \\ \sqrt{2}x - x = 2 - 7 \\ x( \sqrt{2} - 1) = - 5 \\ x = \frac{ - 5}{ \sqrt{2} - 1} \\ \\Now, \\ x = \frac{ - 5 \times (\sqrt{2} + 1) }{( \sqrt{2} - 1 )( \sqrt{2} + 1 )} = \frac{ - 5 \sqrt{2} - 5 }{ {( \sqrt{2} )}^{2} - {1}^{2} } \\ \\ x = \frac{ - 5( \sqrt{2} + 1) }{2 - 1} \\ x = - 5( \sqrt{2} + 1)$