Question

The equation
24x2+25x−47
ax−2
=−8x−3−
53
ax−2
is true for all values of x≠
2
a
, where a is a constant.

What is the value of a?


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Answer 1

Answer:

it is true that (−8x − 3)(ax − 2) − 53 = 24x2 +25x −47. (This can be seen by multiplying each side of the given equation by ax − 2). This can be rewritten as −8ax2+ 16x − 3ax = 24x2+ 25x − 47.

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Answer 2

$\fbox \pink{answer }$

Given,

24x²+25x−47 = −8x−3− 53

ax−2 ax−2

⇒ 24x²+25x−47

ax−2

= (−8x−3)(ax−2)−53

ax−2

⇒24x²+25x−47=(−8x−3)(ax−2)−53

⇒24x²+25x−47=−8ax²+16x−3ax+6−53

⇒24x²+25x−47=−8ax²+16x−3ax−47

⇒24x²+25x=−8ax²+(16−3a)x

⇒24=−8a

⇒a=−3

$\blue{ = = = = = = = = = = = = = = = = = }$

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