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

Given, ax−224x2+25x−47=−8x−3−ax−253

⇒ax−224x2+25x−47=ax−2(−8x−3)(ax−2)−53

⇒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

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Answer 2

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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