Question

2^1/2 - 4x² +6
Solve for x

Answer 1

$= > {2}^{\frac{1}{2} } - 4x ^{2} + 6 \\ = > - 4x^{2} + \frac{ {1}^{2} }{ {2}^{2} } + 6 \\ = > - 4x ^{2} + \frac{1}{4} + 6 \\ = > - 4x ^{2} + \frac{1 + 24}{4} \\ = > - 4x ^{2} + \frac{25}{4} = 0 \\ = > - 4x ^{2} = - \frac{25}{4} \\ = > x ^{2} = \frac{ \frac{25}{4} }{4} \\ = > {x}^{2} = \frac{25}{4} \times \frac{1}{4} \\ = > {x}^{2} = \frac{25}{16 } \\ = > x = \sqrt{ \frac{25}{16} } \\ = > x = \frac{5}{4}$

Hope it helps :)