Question

If (x-1)is a factor of a²x²-3ax+3x-1 . Find the value of a

Answer 1

x-1=0
therefore X=1
Now,put value of X=1 in the given equation.

a^2(1)^2-3a(1)+3(1)-1=0
a^2(1)-3a+3-1=0
a^2-3a+2=0
Now use the factorisation method of splitting the middle term...
So,
a^2 -2a-a+2=0
a(a-2)-1(a-2) =0
(a-2) and (a-1) =0
Putting both values against zero.
so we will have
a-2=0 or a-1=0
so. a=2 or a=1. both can be true.