the number of integral solutions of alpha for which for which the above question is valid

Question

Pavan Kumar · Answer

Dear student,

the graph of quadratic should be downward because if the graph is upward it can be positive for infinite value of negative integers so

$\alpha$ $\alpha$ -3 is always $\alpha$

so the given equation becomes

$\alpha$ x²+(3-2 $\alpha$ )x-6 factorizes into (x-2)( $\alpha$ x+3)

roots are 2,-3/ $\alpha$
exactly 2 integers are present in between roots so 1 and 0 or 3 and 4

case 1: 1 and 0 are the integers

so -3/ $\alpha$ $\alpha$ >0 but $\alpha$

case 2: 3 and 4 are the integers

so -3/ $\alpha$ > 4 : $\alpha$ >-3/4 and $\alpha$ $\alpha$ is integer so the possible values of $\alpha$ are none

finally o possible values of $\alpha$

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the number of integral solutions of alpha for which for which the above question is valid

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the number of integral solutions of alpha for which for which the above question is valid

the number of integral solutions of alpha for which for which the above question is valid

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