Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

De oplossingen- verzameling van 2x² − 1 = 0 is	A. $https://latex.codecogs.com/png.image?\inline \large \dpi{120}\begin{Bmatrix}\frac 12\end{Bmatrix}$
	B. $https://latex.codecogs.com/png.image?\inline \large \dpi{120}\begin{Bmatrix}\frac{\sqrt 2}{2}\end{Bmatrix}$
	C. $https://latex.codecogs.com/png.image?\inline \large \dpi{120}\begin{Bmatrix}\frac{1}{\sqrt 2}\end{Bmatrix}$
	D. $https://latex.codecogs.com/png.image?\inline \large \dpi{120}\begin{Bmatrix}\frac 12, -\frac 12 \end{Bmatrix}$
	E. $https://latex.codecogs.com/png.image?\inline \large \dpi{120}\begin{Bmatrix}\frac{\sqrt 2}{2},-\frac{\sqrt 2}{2} \end{Bmatrix}$

[ 64-1137 - op net sinds 15.11.97-(E)-13.7.2024 ]

The solution set of 2x² − 1 = 0 is
See above

$2x^2-1=0\; \Leftrightarrow \; 2x^2=1\; \Leftrightarrow \; 4x^2 = 2\; \Leftrightarrow \;x^2=\frac 24\; \Leftrightarrow \;x = \pm \frac{\sqrt{2}}{2}$