Question

√2x²+7x+5√2 by factorisation method

Answer 1

$\sqrt{2} {x}^{2} + 7x + 5 \sqrt{2} \\ = \sqrt{2} {x}^{2} + 2x + 5x + 5 \sqrt{2} \\ = \sqrt{2}x (x + \sqrt{2} ) + 5(x + \sqrt{2} ) \\ = ( \sqrt{2} x + 5)(x + \sqrt{2} ) = 0 \\ x = \frac{ - 5}{ \sqrt{2} } = \frac{ - 5 \sqrt{2} }{2} \\ x = - \sqrt{2}$