The equation is true for all values of [tex] \bf Question The equation is true for all values of , where a is a constant. What is the value of a? (A) -16 (B) -3 (C) 3 (D) 16 in progress 0 Math Arianna 1 month 2021-08-13T08:56:39+00:00 2021-08-13T08:56:39+00:00 2 Answers 1 views 0

## Answers ( )

EXPLANATION.equation are

=>

## conditions are = x ≠ 2/a , where a is

## constant.

TOFINDVALUEOFA.multiply both sides of equation by ( ax – 2 )

we get,

=> 24x² + 25x – 47 = ( ax – 2 ) ( -8x – 3 ) – 53

=> 24x² + 25x + 6 = ( ax – 2 ) ( -8x – 3 )

=> 24x² + 25x + 6 = – 8ax² – 3ax + 16x + 6

=> 24x² + 9x = -8ax² – 3ax

=> 24x² + 8ax² + 9x + 3ax = 0

=> 8x² ( 3 + a) + 3x ( 3 + a) = 0

=> ( 8x² + 3x ) ( a + 3 ) = 0

=> a = -3

for the given conditions

=> x ≠ 2/a

=> x ≠ -2/3

## Therefore,

## value of a = -3

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The equation is true for all values of , where a is a constant.

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Value of a

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