Using the quadratic formula, solve : [(x-1)/(x-2)]=[(x-2)/(x-3)]=4
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Answer:
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Step-by-step explanation:
See below
x
=
1.62
or
x
=
−
0.62
Explanation:
The quadratic formula is
−
b
±
√
b
2
−
4
a
c
2
a
this is used for formulas
a
x
2
+
b
x
+
c
=
0
in your problem,
x
2
−
x
−
1
=
0
a=1, b=-1, c=-1#
substitute into quadratic
−
(
−
1
)
±
√
(
−
1
)
2
−
4
(
1
)
(
−
1
)
2
⋅
1
this equals
1
±
√
1
+
4
2
1
+
√
5
2
or
1
−
√
5
2
x
=
1.62
or
x
=
−
0.62
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