### Find the value of X if $$\frac{\sqrt{2}}{x+\sqrt{2}}=\frac{1}{x-\sqrt{2}}$$

Find the value of X if $$\frac{\sqrt{2}}{x+\sqrt{2}}=\frac{1}{x-\sqrt{2}}$$
• A. 3√2+4
• B. 3√2-4
• C. 3-2√2
• D. 4+2√2
##### Explanation
Start your solution by cross-multiplying, then collect like terms and factorize accordingly to get the unknown.

#### Contributions (68)

luv1 hw did u arrive at 4+3root2?
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• SEUN: threeroot2+4
8 months ago
1st cros multiply. Colect likes term, factor out x and rationalize den d final answer is 2plus root 2 plus 2 root 2 plus 2. Add up and c ur answer
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2(X+[]2)=1(X-[]2) =2X-2[]2=X+[]2 =2X-X+[]2+2[]2 = X+3[]2 answer A
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Nice one
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I really appreciate u guyz.......keep it up u re all doing a great job here!
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• Oludamiro: Hyyyyy guys
3 months ago
threeroot2+4
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@luv1 i am lost at d concluding point pls help!
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if u believe me the answer is -2.
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i did not understand pls explain better
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Work it out
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• Bosah Obinwanne E: PLEASE WORK IT OUT FOR ME. I CANT GET THE ANSWER
5 years ago
• IjogaIpesi: ¿2/(x+¿2)=1/(x-¿2) cross multiply ¿2(x-¿2)=1(x+¿2) x¿2-2=x+¿2 x¿2-x=¿2+2 x(¿2-1)=¿2+2 x=(¿2+2)/(¿2-1) rationalising the denominator (¿2+2)/(¿2-1)*(¿2+1)/(¿2+1) (2+¿2+2¿2+2)/(2-1) =3¿2+4. Therefor ans is (A). Note: ¿ Means square root sign
5 years ago
• rickydowels: firt cross multiply wich makes it ¿2x-2=x+¿2.nxt u collect lyk terms wich makes it ¿2x-1x=¿2+2.as u can c x is common in first part so it wll b x(¿2-1)=¿2+2.den u divide with coefficient of x wich makes it x=¿2+2/¿2- 1den u rationalize ¿2+2/¿2-1*¿2+1/¿2+1 if u do ur workins frm dere u get ur ansa
4 years ago
• Benedict: pls help me to break dis to d final answer using simple steps (2+¿2+2¿2+2)/(2-1)
5 months ago
Gud u
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Tnx guys, I now grab
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this equations should be represented in an explicit way for easy disintegration.
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Good
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• Andyjnr: I can't get the equation correctly i need total breakdown of the equation
5 months ago

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