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1)We call a a good number if the inequality 2x^2+2x+3 the whole divided by x^2+x+1 2)Find a 6/a have solutions in common.

1)We call a a good number if the inequality 2x^2+2x+3 the whole divided by x^2+x+1< or equal to a is satisfied for any real x. i)Prove that 4 is a good number ii)Find all good numbers.


2)Find a<0 for which the inequations 2root ax<3a-x and x- square root of x/a>6/a have solutions in common.


 

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1 Answers

Shivam Dimri
43 Points
7 years ago

well the expression can be written as 2(x2 + x + 1) + 1

so remainder in any case will be 1 for all x belnging to real numbers

clearly any real number greater than or equal to 1 satisfies the condition to be good!!!

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