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Slope Point Form of a Line

the values of...

Question

the values of'a' for which both roots of the equation (a+1) x²-3ax+4a=0 are greater than unity

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Solution

$N o w space comma space space D i s c space greater or equal than 0 greater or equal than 9 a squared minus 16 a greater or equal than 0 minus 7 a squared minus 16 a less or equal than 0 a left parenthesis 7 a plus 16 right parenthesis less or equal than 0 minus 16 over 7 less or equal than a less or equal than 0 minus negative negative negative negative negative negative negative left parenthesis 1 right parenthesis alpha plus beta greater than 2 3 a divided by a plus 1 space greater than 0 3 a divided by a plus 1 space minus 2 space greater than 0 fraction numerator a minus 2 over denominator a plus 1 end fraction greater than 0 space a less than negative 1 space o r space a greater than 2 space minus negative negative negative negative space left parenthesis 2 right parenthesis left parenthesis a plus 1 right parenthesis space f left parenthesis 1 right parenthesis greater than 0 left parenthesis a plus 1 right parenthesis left parenthesis a plus 1 minus 3 a plus 4 a right parenthesis greater than 0 left parenthesis a plus 1 right parenthesis left parenthesis 2 a plus 1 right parenthesis greater than 0 a less than negative 1 space o r space a greater than negative 1 divided by 2 minus negative negative negative negative negative left parenthesis 3 right parenthesis f r o m space left parenthesis 1 right parenthesis comma space left parenthesis 2 right parenthesis comma space a n d space left parenthesis 3 right parenthesis space w e space g e t space minus 16 over 7 less or equal than a less or equal than negative 1$

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Slope Point Form of a Line

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