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?

Answer 1

24×2+25x-47ax-2=-8x-3-53ax-2
46-47ax+25x=-5-8x-53ax
46+5=-8x-25x-53ax+47ax
51=-33x-(-6ax)
51=-33x+6ax

-33x=51
x=51/33

6ax=51
6a51/33=51×33/51
6a=33
a=33/-6
a=11/-2