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.
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Answer:
24x2+25x-47=(-8x-3)(ax-2)-53
.
24x2+25x-47=8ax2-3ax+16x+6-53
24x2+25x-47=8ax2-3ax+16x-47
.
Since the coefficients of the x2-term have to be
equal on both sides of the equation, -8a-24, or
a--3
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