8. Find the roots of the equation ax2 + a=a²x + x. =a
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GIVEN
ax^2 + a = a^2x + x
ON ONE SIDE ax^2 + a- a^2x - x = 0
REARRANGE
ax^2 - x - a^2x + a = 0 x (ax - 1) - a (ax - 1) = 0
(ax - 1) (x - a) = 0
(ax - 1) = 0 & (x - a) = 0
ax = 1 & x = a x = 1/a&x=a
Therefore, the roots of said equation are 1/a & a.
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