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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
Correct Answer: Option A
Explanation
Start your solution by cross-multiplying, then collect like terms and factorize accordingly to get the unknown.

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Contributions (68)

viole3t@valerie
3 years ago
luv1 hw did u arrive at 4+3root2?
Esuo25
6 years 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
Christianchinedu
6 years ago
2(X+[]2)=1(X-[]2) =2X-2[]2=X+[]2 =2X-X+[]2+2[]2 = X+3[]2 answer A
IjogaIpesi
5 years ago
.¿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
fortunate lasun
3 years ago
Nice one
adexi7
4 years ago
I really appreciate u guyz.......keep it up u re all doing a great job here!
SEUN
6 months ago
threeroot2+4
ufy Lucky
5 years ago
@luv1 i am lost at d concluding point pls help!
viole3t@valerie
3 years ago
sorri a've gotten the answer
obi
1 year ago
if u believe me the answer is -2.
TAIWO KHADIJAT
2 years ago
i did not understand pls explain better
lucybaby2008
6 years ago
Work it out
  • Bosah Obinwanne E: PLEASE WORK IT OUT FOR ME. I CANT GET THE ANSWER
    Like 0    Dislike 0   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
    Like 1    Dislike 0   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
    Like 0    Dislike 0   4 years ago
  • Benedict: pls help me to break dis to d final answer using simple steps (2+¿2+2¿2+2)/(2-1)
    Like 0    Dislike 0   3 months ago
festidabi
6 years ago
Gud u
deebsy
3 years ago
Tnx guys, I now grab
Ebere c. Christian
6 years ago
this equations should be represented in an explicit way for easy disintegration.

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