Question

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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

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.