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 (70)

lucybaby2008
7 years ago
Work it out
  • Bosah Obinwanne E: PLEASE WORK IT OUT FOR ME. I CANT GET THE ANSWER
    Like 0    Dislike 0   6 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 2    Dislike 0   6 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 1    Dislike 0   5 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 1   1 year ago
chucksss
7 years ago
Correct!!.
ikeh fletchi
7 years ago
U̶̲̥̅̊ can ǰU̶̲̥̅̊§τ̲̅ rationalize both sides after which U̶̲̥̅̊ cancel out the denominators of both sides,equate the numerators and m̶̲̥̅̊a̶̲̥̅̊k̶̲̥̅̊e̶̲̥̅̊ X the subject of the formular...then U̶̲̥̅̊ rationalize again to get the ans....
Dat's excellent
hotunbaizm
7 years ago
Dats gud
beeoreler
7 years ago
Correct!
Luv1
7 years ago
solve it just like normal equation :



2/X+2 = 1/X-2



Cross multiply

2(X-2) = X+2

X2-2 = X+2

Collect like terms

X2 – X = 2+2



X(2-1) = 2+2



Divide through by (2-1)



X = 2+1

2-1



Then you rationalize

(2+2)(2+1)

(2-1)(2+1)



2+2+22+2

2+2-2-1



X = 4+32

So simple

Mathematics is all about 99%in your thinking and 1% in your writing
Esuo25
7 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
Ebere c. Christian
7 years ago
this equations should be represented in an explicit way for easy disintegration.
The statement is correct if tried by anybd. And 3square2 4.
Flexin48
7 years ago
Wao don't knw y i hate maths
Meshack
7 years ago
Afta cros multiply d lyk term,1/x+rut2= 2(1rutX+2). den, 1+2=2(1rutX+2 DEN X=3 rut2+4
Christianchinedu
7 years ago
2(X+[]2)=1(X-[]2) =2X-2[]2=X+[]2 =2X-X+[]2+2[]2 = X+3[]2 answer A
Nnamdi Stephen
6 years ago
Correct,datz gud nd their so many solution
cadax
6 years ago
perfect

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