Showing posts with label Inequalities. Show all posts
Showing posts with label Inequalities. Show all posts

24 Jan 2021

The least integral value of m for which the expression mx^2-4x+3m+1 is positive for every x belongs to R is

The least integral value of m for which the expression mx^2-4x+3m+1 is positive for every x belongs to R is Ankit Sarawgi
Here D < 0  as the expression is positive so, the equation to possess no real roots
 

Solve : (|x+3|+x)/x+2 >1

 

Solve : (|x+3|+x)/x+2 >1 Ankit Sarawgi
Solve : (|x+3|+x)/x+2 >1 Ankit Sarawgi
Solve : (|x+3|+x)/x+2 >1 Ankit Sarawgi

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Find all values of p or which the roots of the equation (p−3)x 2 −2px+5p = 0 are real and positive

 

Find all values of p or which the roots  of the equation (p−3)x  2  −2px+5p = 0 are real and positive Ankit Sarawgi



Find all pairs of consecutive even positive integers, both of which are larger than 5 such their sum is less than 23.

Find all pairs of consecutive even positive integers, both of which are larger than 5 such their sum is less than 23.

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If mx^2-9mx+5m+1>0, for all x€R then m lies in the interval

 

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⚡ ANS
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