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In the solution, why is it assumed that A,C>0 ? We can get B=1 even when both A,C<0. This way the number of total solutions possible is 16. Can someone help me with this?

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value of the expression (x^2 - x + 1)/(x - 1) cannot lie between a) 1,-3 b) -1,-3 c) -4,2 d) -4,-2

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The average age of the members of a club increases to 27 when 3 more persons whose average age is 29 join them from 26. What is the number of members in the club now?

I did not understand this question at all. I will be really greatful if I get an explanatory answer

A 735 g sample of a 16%( by weight) solution of iodine in alcohol is kept for three days. Some of the alcohol gets evaporated and the concentration of the solution becomes 20% by weight, what amount of alcohol gets evaporated

When x=6 and y=10, isn't that a solution?

in a group of four teams,what is the probability of one team losing all matches and one team winning all matches? probability of winning a match for any team is half(1/2)