Question

solve for X; x square - root 2 +1 multiplied by X + root 2 = 0

Answer 1

Answer:

$\large\boxed{\sf{x = - \sqrt{2}, \: \pm\sqrt{\sqrt{2}-1}}}$

Step-by-step explanation:

$( {x}^{2} - \sqrt{2} + 1)(x + \sqrt{2} ) = 0$

Clearly, we have two conditions:

$(1)( {x}^{2} - \sqrt{2} + 1) = 0 \\ \\ = > {x}^{2} = \sqrt{2} - 1 \\ \\ = > x = \pm\sqrt{ \sqrt{2} - 1}$

$(2)(x + \sqrt{2} ) = 0 \\ \\ = > x = - \sqrt{2}$