Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

Wat is de oplossing van de volgende irrationale vergelijking ? $https://latex.codecogs.com/png.image?\inline \dpi{120}\frac{\sqrt{3+x}+\sqrt{3-x}}{\sqrt{3+x}-\sqrt{3-x}}=3$	A. 0,333...
	B. 0,6
	C. 1,2
	D. 1,8
	E. 2,4

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Translation in E N G L I S H

What is de solution of the next equation ? $https://latex.codecogs.com/png.image?\inline \dpi{120}\frac{\sqrt{3+x}+\sqrt{3-x}}{\sqrt{3+x}-\sqrt{3-x}}=3$	A.
	B. 0.6
	C. 1.2
	D. 1.8
	E. 2.4

Oplossing - Solution

$\\\frac{\sqrt{3+x}+\sqrt{3-x}}{\sqrt{3+x}-\sqrt{3-x}}=3\\\sqrt{3+x}+\sqrt{3-x}=3\sqrt{3+x}-3\sqrt{3-x}\\4\sqrt{3-x}=2\sqrt{3+x}\\2\sqrt{3-x}=\sqrt{3+x}\\4(3-x)=3+x\quad(geen\;K?V?)\\12-4x=3+x\\9=5x\\x=\frac95=\frac{18}{10}=1,8$