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Algebra || 14.09.2022

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Question 1

If x2 – 3x + 1 = 0, then the value of will be

Question 2

If x=(a/b) + (b/a), y = (b/c) + (c/b) and z = (c/a) + (a/c), then what is the value of xyz - x2 - y2 - z2 ?

Question 3

The value of x for which the expressions 7x+13 and 13x-7 become equal, is how much?

Question 4

If then the value of is

Question 5

If then what is the value of ?

Question 6

If x2+ y2 + z2 = xy + yz + zx, then what is the value of (7x + 3y – 5z)/5x?

Question 7

If then is

Question 8

If (a – b)x2 + (b – c)x + c – a = 0 has equal roots then the relation between a, b and c is,

Question 9

What is the value of x in the equation ?

Question 10

The values of a and b (a > 0, b < 0) for which 8x3 – ax2 + 54x + b perfect cube are
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