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# Algebra || 11.03.2021

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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:

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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