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Algebra with Short Tricks and solved Examples



Algebra with Short Tricks and solved Examples

(1)If 
image024then the value of  image025
(a) 4
(b) 52
(c) 64
(d) 76
Ans. (b)
image026
Cubing both sides,
image027
image028

(2) If image029 then the value of image030

(a) 1
(b)2
(c)image031
(d)image032
Ans. (b)
image033   if difference of square of terms  of X is 1 then 1/x is always same but the sign between the terms of X change as happen in this question
(3) If image034 then the value of  image035 is
(a)2
(b) 4
(c)   8
(d)  16
Ans.(a)
image036
image037
Similarly,
image038

(4) If image039 then the value of
(a)122
(b)118
(c)123
(d)120
Ans. (c)
image041
(5)Ifimage042 thenimage043 is equal to:
(a)0
(b)1
(c)   2
(d)  3
Ans. (a)
image044  always remeber if x+ 1/x=√3 then X6+1=0 holds true
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