Question
If x4 + x - 4 = 47 then find the
value of (x + x-1).Solution
x4 + x - 4 = 47 x4 + 1/x 4 = 47 Add 2 both sides x4 + 1/x 4 + 2 = 49 The above expression is of the form a2 + b2 + 2ab = (a + b)2 where a = x and b = 1/x Then the above expression becomes (x2 + 1/x2)2 =72 Taking square root on both sides (x2 + 1/x2) = 7 Again adding 2 both sides (x2 + 1/x2 + 2) = 9 (x + 1/x)2 = 32 Taking square root on both sides (x + 1/x) = 3
Statements: U = V ≤ W > Q ≥ N; B < Q; E = W
Conclusion: I. E > Q II. W > B
In each of the questions below are given some statements followed by two conclusions. You have to take the given statements to be true even if they see...
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is/are definitely true and th...
Statement: L ≥ I ≥ K = J ≥ T ≥ V
Conclusions:
I. V < L
II. L ≥ T
Statements: P ≥ Q > R; S < T ≤ R; T > V
Conclusions:
I. P > T
II. V < Q
 III. R > V
Statements: O < D ≤ T; C ≥ X = U; Y < Z = C > D
Conclusions:
I. U ≤ Z
II. O ≤ C
III. Y < D
Statements: G > L = V ≥ Z ≤ O = Q < K < N
Conclusions:
I. L ≥ Q
II. Z < NWhich of the following symbols should be placed in blank spaces respectively in the same order from left to right in order to complete the given express...
Statements:
Y $ N * G © J @ Q
Conclusions:
I. G @ Q
II. Q * Y
III. Q % G
In the following question the relationship between different elements is given in the statements followed by three conclusions I, II and III. Read the ...
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