Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

6 + x = 7 − x heeft als oplossing	A. \(\boldsymbol{\sqrt 2 - 1 }\)
	B. \(\boldsymbol{1 - \sqrt 2 }\)
	C. \(\large\boldsymbol{\frac {\sqrt 3} {3} }\)
	D. \(\large\boldsymbol{\frac {\sqrt 2} {4} }\)
	E. \(\large\boldsymbol{\frac 12 }\)
	F. \(\large\boldsymbol{\pm \frac {\sqrt{13}} {3} }\)

[ 4-4163 - op net sinds 28.12.15-(E)-4.11.2023 ]

What is the solution of 6 + x = 7 − x ? See above

6 +

x = 7 − x

⇔ v2puur

x + x = 7 − 6
⇔ ( v2puur

+ 1)x = 1
⇔ \(x=\frac {1} {\sqrt2\,+\,1}=\frac{\sqrt2-1}{(\sqrt2+1)(\sqrt2-1)}=\frac{\sqrt2-1}{2-1}=\sqrt2 - 1 \)