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Question 1
If (2x – 7)3 + (2x – 8)3 + (2x – 3)3 = 3(2x – 7) (2x – 8) (2x – 3), what is the value of x?
Question 2
If x2 – 6x + 1 = 0, then the value of 
is:
is:Question 3
If x4 + x-4 = 1442, (x > 0) then the value of x + x-1 is:
Question 4
If a2 + b2 = 135 and ab = 7, (a > 0, b > 0) then the value of (a3 – b3) is:
Question 5
9a2 + 16b2 + c2 + 25 = 24 (a + b), then the value of (3a + 4b + 5c) is:
Question 6
If a + b = 10 and ab = 24, then the value of a3 + b3 is
Question 7
If α and β are the roots of the equation 3x2+ 2x+ 1 = 0; then the equation whose roots are α+β-1 and β+α-1 is
Question 8
If x= (√3+√2)−5; y= (√3−√2)−5; Find: 
Question 9
Find the roots of the quadratic equation 27x2 + 57x − 14 = 0
Question 10
If 5 − x > 1 + 3x and 5 + 5x ≥ 2 + 2x; then x can take which of the following values?
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Mar 11SSC & Railway
