Q. 3 E3.8( 5 Votes )

Solve the following equations for x:

, where x > 0

Answer :

Given:-


Take



We know that, Formula



Thus,



We know that, Formula



Thus,





We know that, Formula



Thus,




By rationalisation




(x+1)2 = (1+√3)2


x+1 = ±(1+√3)


x +1 = 1+√3 or x +1 = –1–√3


x = √3 or x = –2 – √3


as given, x > 0


Therefore


x = √3


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Solve the following equation for x :

Mathematics - Board Papers