(x+1/x)(x^2-1+1/x^2) algebra
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Answered by
0
Answer:
chat with me then I will answer you
Answered by
0
Answer:
We know that a if a product is
0
, then at least one of the factors must be
0
. But, that's not what we have here.
Let's try to make it what we have:
(
x
−
1
)
(
x
+
2
)
=
18
(
x
−
1
)
(
x
+
2
)
−
18
=
0
Great!, Except -- now we don't have a product on the left. Try something and see if it helps or makes things worse.
(I have experience, I often know what will work. A less experienced person has to just try something.)
[
x
2
+
x
−
2
]
−
18
=
0
(I multiplied
(
x
−
1
)
(
x
+
2
)
)
x
2
+
x
−
20
=
0
(Simplify)
(
x
+
5
)
(
x
−
4
)
=
0
(Factor the NEW expression)
x
+
5
=
0
or
x
−
4
=
0
It is clear that there are 2 solutions:
−
5
is a solution and
4
is a solution
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